Dynamics of hybrid systems with complex structures. Mechanics of materials.

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Dynamics of hybrid systems with complex structures. Mechanics of materials. (en)
Динамика хибридних система сложених структура. Механика материјала (sr)
Dinamika hibridnih sistema složenih struktura. Mehanika materijala (sr_RS)
Authors

Publications

Multi-disciplinary Shape Optimization of Missile Fin Configuration Subject to Aerodynamic Heating

Vidanović, Nenad; Rašuo, Boško; Kastratović, Gordana; Grbović, Aleksandar; Puharić, Mirjana; Maksimović, Katarina

(American Institute of Aeronautics and Astronautics, 2020)

TY  - JOUR
AU  - Vidanović, Nenad
AU  - Rašuo, Boško
AU  - Kastratović, Gordana
AU  - Grbović, Aleksandar
AU  - Puharić, Mirjana
AU  - Maksimović, Katarina
PY  - 2020
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/4057
AB  - The main goal of this paper is to expand previously conducted study and consequently to upgrade the proposed multimodular numerical framework developed for fluid–structure interaction simulation (FSI) and multidisciplinary design optimization (MDO) purposes, in a manner that thermal–structure interaction is observed and implemented into the established numerical framework. The upgraded and considerably improved algorithm was used for MDO of the short-range ballistic missile (SRBM) model. Because of its high-speed regimes, this aircraft model was selected for the purpose of numerical modeling and optimization of aerodynamically heated structure. The present study is concerned with a broader observation of critical multipoint flight conditions and represents a more realistic scenario, which indicates this study as one contribution more in a scope of fluid–thermal–structure interaction (FTSI) numerical modeling and optimization. With respect to predefined objectives and constraints, multidisciplinary shape optimization of the fin structure resulted in overall improvement of the missile initial performances. Also, aerothermally induced critical responses of the fin structure were prevented. Numerical modeling of FSI/FTSI and MDO within an industry-accepted design tool resulted in powerful monolithic environment, which, with adopted multipoint regimes and multicriteria settings, was used for aerodynamic–thermal/structural optimization. The obtained results were compared with the results from the previous study conducted without thermal effects.
PB  - American Institute of Aeronautics and Astronautics
T2  - Journal of Spacecraft and Rockets
T1  - Multi-disciplinary Shape Optimization of Missile Fin Configuration Subject to Aerodynamic Heating
VL  - 57
IS  - 3
SP  - 510
EP  - 527
DO  - 10.2514/1.A34575
ER  - 
@article{
author = "Vidanović, Nenad and Rašuo, Boško and Kastratović, Gordana and Grbović, Aleksandar and Puharić, Mirjana and Maksimović, Katarina",
year = "2020",
abstract = "The main goal of this paper is to expand previously conducted study and consequently to upgrade the proposed multimodular numerical framework developed for fluid–structure interaction simulation (FSI) and multidisciplinary design optimization (MDO) purposes, in a manner that thermal–structure interaction is observed and implemented into the established numerical framework. The upgraded and considerably improved algorithm was used for MDO of the short-range ballistic missile (SRBM) model. Because of its high-speed regimes, this aircraft model was selected for the purpose of numerical modeling and optimization of aerodynamically heated structure. The present study is concerned with a broader observation of critical multipoint flight conditions and represents a more realistic scenario, which indicates this study as one contribution more in a scope of fluid–thermal–structure interaction (FTSI) numerical modeling and optimization. With respect to predefined objectives and constraints, multidisciplinary shape optimization of the fin structure resulted in overall improvement of the missile initial performances. Also, aerothermally induced critical responses of the fin structure were prevented. Numerical modeling of FSI/FTSI and MDO within an industry-accepted design tool resulted in powerful monolithic environment, which, with adopted multipoint regimes and multicriteria settings, was used for aerodynamic–thermal/structural optimization. The obtained results were compared with the results from the previous study conducted without thermal effects.",
publisher = "American Institute of Aeronautics and Astronautics",
journal = "Journal of Spacecraft and Rockets",
title = "Multi-disciplinary Shape Optimization of Missile Fin Configuration Subject to Aerodynamic Heating",
volume = "57",
number = "3",
pages = "510-527",
doi = "10.2514/1.A34575"
}
Vidanović, N., Rašuo, B., Kastratović, G., Grbović, A., Puharić, M.,& Maksimović, K.. (2020). Multi-disciplinary Shape Optimization of Missile Fin Configuration Subject to Aerodynamic Heating. in Journal of Spacecraft and Rockets
American Institute of Aeronautics and Astronautics., 57(3), 510-527.
https://doi.org/10.2514/1.A34575
Vidanović N, Rašuo B, Kastratović G, Grbović A, Puharić M, Maksimović K. Multi-disciplinary Shape Optimization of Missile Fin Configuration Subject to Aerodynamic Heating. in Journal of Spacecraft and Rockets. 2020;57(3):510-527.
doi:10.2514/1.A34575 .
Vidanović, Nenad, Rašuo, Boško, Kastratović, Gordana, Grbović, Aleksandar, Puharić, Mirjana, Maksimović, Katarina, "Multi-disciplinary Shape Optimization of Missile Fin Configuration Subject to Aerodynamic Heating" in Journal of Spacecraft and Rockets, 57, no. 3 (2020):510-527,
https://doi.org/10.2514/1.A34575 . .
2
16
5
13

Fatigue endurance design of plates with two semicircular edge notches and one quarter-elliptical corner crack or through-the-thickness crack

Boljanović, Slobodanka; Maksimović, Stevan; Carpinteri, Andrea; Ćosić, Milena

(Elsevier, 2019)

TY  - JOUR
AU  - Boljanović, Slobodanka
AU  - Maksimović, Stevan
AU  - Carpinteri, Andrea
AU  - Ćosić, Milena
PY  - 2019
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/3113
AB  - This paper presents an investigation on the failure of plates with double-edge notches and fatigue damage. The
main aim is to develop a computational model for estimating the behaviour of a quarter-elliptical corner crack or
a through-the-thickness crack located at semicircular edge notch. In such an analytical/numerical analysis,
driving forces are evaluated by means of an analytical model and the finite element method, whereas the fatigue
life is assessed employing a stress ratio-dependent crack growth law and the stress intensity factor.
PB  - Elsevier
T2  - International Journal of Fatigue
T1  - Fatigue endurance design of plates with two semicircular edge notches and one quarter-elliptical corner crack or through-the-thickness crack
VL  - 127
SP  - 45
EP  - 52
DO  - 10.1016/j.ijfatigue.2019.05.021
ER  - 
@article{
author = "Boljanović, Slobodanka and Maksimović, Stevan and Carpinteri, Andrea and Ćosić, Milena",
year = "2019",
abstract = "This paper presents an investigation on the failure of plates with double-edge notches and fatigue damage. The
main aim is to develop a computational model for estimating the behaviour of a quarter-elliptical corner crack or
a through-the-thickness crack located at semicircular edge notch. In such an analytical/numerical analysis,
driving forces are evaluated by means of an analytical model and the finite element method, whereas the fatigue
life is assessed employing a stress ratio-dependent crack growth law and the stress intensity factor.",
publisher = "Elsevier",
journal = "International Journal of Fatigue",
title = "Fatigue endurance design of plates with two semicircular edge notches and one quarter-elliptical corner crack or through-the-thickness crack",
volume = "127",
pages = "45-52",
doi = "10.1016/j.ijfatigue.2019.05.021"
}
Boljanović, S., Maksimović, S., Carpinteri, A.,& Ćosić, M.. (2019). Fatigue endurance design of plates with two semicircular edge notches and one quarter-elliptical corner crack or through-the-thickness crack. in International Journal of Fatigue
Elsevier., 127, 45-52.
https://doi.org/10.1016/j.ijfatigue.2019.05.021
Boljanović S, Maksimović S, Carpinteri A, Ćosić M. Fatigue endurance design of plates with two semicircular edge notches and one quarter-elliptical corner crack or through-the-thickness crack. in International Journal of Fatigue. 2019;127:45-52.
doi:10.1016/j.ijfatigue.2019.05.021 .
Boljanović, Slobodanka, Maksimović, Stevan, Carpinteri, Andrea, Ćosić, Milena, "Fatigue endurance design of plates with two semicircular edge notches and one quarter-elliptical corner crack or through-the-thickness crack" in International Journal of Fatigue, 127 (2019):45-52,
https://doi.org/10.1016/j.ijfatigue.2019.05.021 . .
7
3
6

Oscillators: Phenomenological mappings and analogies: Second part: Structural analogy and chains

Hedrih-Stevanović, Katica; Ivanović-Šašić, Ana; Simonović, Julijana; Kolar-Anić, Ljiljana; Čupić, Željko

(Belgrade, Serbia : Military Technical Institute, 2015)

TY  - JOUR
AU  - Hedrih-Stevanović, Katica
AU  - Ivanović-Šašić, Ana
AU  - Simonović, Julijana
AU  - Kolar-Anić, Ljiljana
AU  - Čupić, Željko
PY  - 2015
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/1767
AB  - New analytical and numerical results of dynamics for both linear and nonlinear system with two degrees of freedom are presented. For the mechanical chain system with two degrees of freedom, oscillations are investigated analytically and numerically with corresponding comparison between free and forced oscillatory dynamics of linear and nonlinear system. Using the Mihailo Petrović's theory of elements of mathematical phenomenology, the phenomenological mappings in vibrations, signals, resonances and dynamical absorptions in models with two degrees of freedom-abstractions of different real system dynamics are identified, as well as in eigen time functions of multi-deformable coupled body system dynamics, and presented. Mathematical description of a chain mechanical system with two mass particles coupled by linear and nonlinear elastic springs and with two degree of freedom is given. By the analysis of corresponding solutions for free and forced vibrations, series of related two-frequency regimes and resonant states, as well as dynamical absorption states, are identified. Phenomenological mappings are used to explain dynamics in two deformable body (beams, plates or membranes) systems. In short, new analytical and numerical results of linear and non-linear dynamics of a system with two-degrees of freedom in analogy with eigen time functions oscillations of transversal vibrations of two body system dynamics are presented. Structural analogies are identified between eigen time functions of different multi-coupled deformable body transversal vibrations (plates, beams, belts or membranes). Mathematical phenomenology elements and phenomenological mappings are applied in the scientific results integration. Mathematical analogy and phenomenological mappings of linear and nonlinear singular phenomena in discrete and multi-body system vibrations (torsional system, multi-pendulum system, coupled electrical circuit and multi-deformable-body oscillations-beams, plates, membranes) are performed. Structural analogy is used to explain phenomenological mappings between displacements of the mass particles in discrete system and eigen time functions in one eigen amplitude mode of dynamics in two coupled deformable body (beams, plates or membranes) systems.
AB  - Predstavljeni su novi analitički i numerički rezultati o dinamici linearnih i nelinearnih sistema sa sva stepena slobode kretanja. Za mehaničke sisteme sa dva stepena slobode kretanja izučavane su, analitički i numerički sa odgovarajućim poređenjima svojstava između sopstvenih i prinudnih režima, oscilatorne linearne i nelinearne dinamike u njima. Koristeći teoriju Mihaila Petrovića - Elementi matematičke fenomenologije i Fenomenološko preslikavanje, u oscilacijama, signalima, fenomenima rezonancija i dinamičkoj apsorpciji u modelima sa dva stepena slobode dinamika apstrakcija različitih modela realnih sistema identifikovane su matematička i kvailitativne analogije sa sopstvenim vremenskim funkcijama transverzalnih oscilacija sistema više spregnutih deformabilnih tela (ploča, greda, traka ili membrana) i predstavljene. Matematički opis jednog mehaničkog lanca sa dvema matrijalnim tačkama spregnutim linearno elastičnom ili nelinearno elastičnim oprugama i sa dva stepena slobode kretanja je prikazan zajedno sa odgovarajućom analizom kinetičkih parametara u analogiji sa sistemom dvaju spregnutih tela diskretno-kontinualnim spojem. Analizom odgovarajućih rešenja za sopstvene i prinudne dvofrekventne režime oscilacija i rezonantnih stanja, kao i stanja dinamičke apsorpcije došlo se do novih saznanja o interakciji modova u nelinearnoj dinamici. Korišćenjem matematičke analogije i fenomenološkog preslikavanja svojstvenih fenomena izučavanog mehaničkog sistema, pokazano je da se ta saznanja mogu koristiti za saznanja o fenomenima i svojstvima dinamika drugih apstrakcija realnih sistema modelima sistema sa dva stepena slobode oscilovanja (npr. dvojnog klatna, ili modela torzijskih oscilacija vratila sa dva diska, ili dvojnog električnog kola, kao i transverzalnih oscilacija spregnutih dveju greda, ili ploča ili membrana). Fenomenološko preslikavanje je korišćeno za objašnjavanje dinamike sopstvenih vremenskih funkcija u sistemu spregnutih jednakih deformabilnih tela (greda, ploča, ili membrana). I u najkraćem, analitički i numerički rezultati linearnih i nelinearnih dinamika sistema sa dva stepena slobode su prikazani kao univerzalni, koji se mogu preneti i na razlićite druge sisteme analogijama i preslikavanjima linearnih i nelinearnih fenomena.
PB  - Belgrade, Serbia : Military Technical Institute
T2  - Scientific Technical Review
T1  - Oscillators: Phenomenological mappings and analogies: Second part: Structural analogy and chains
T1  - Oscillateurs: Correspondance phénoménologiques et analogies: Deuxieme partie: Analogie structurale et les chaînes
T1  - Oscilatori - fenomenološko preslikavanje i analogije - drugi deo - strukturna analogija i lanci
VL  - 65
IS  - 4
SP  - 37
EP  - 45
DO  - 10.5937/STR1504037S
ER  - 
@article{
author = "Hedrih-Stevanović, Katica and Ivanović-Šašić, Ana and Simonović, Julijana and Kolar-Anić, Ljiljana and Čupić, Željko",
year = "2015",
abstract = "New analytical and numerical results of dynamics for both linear and nonlinear system with two degrees of freedom are presented. For the mechanical chain system with two degrees of freedom, oscillations are investigated analytically and numerically with corresponding comparison between free and forced oscillatory dynamics of linear and nonlinear system. Using the Mihailo Petrović's theory of elements of mathematical phenomenology, the phenomenological mappings in vibrations, signals, resonances and dynamical absorptions in models with two degrees of freedom-abstractions of different real system dynamics are identified, as well as in eigen time functions of multi-deformable coupled body system dynamics, and presented. Mathematical description of a chain mechanical system with two mass particles coupled by linear and nonlinear elastic springs and with two degree of freedom is given. By the analysis of corresponding solutions for free and forced vibrations, series of related two-frequency regimes and resonant states, as well as dynamical absorption states, are identified. Phenomenological mappings are used to explain dynamics in two deformable body (beams, plates or membranes) systems. In short, new analytical and numerical results of linear and non-linear dynamics of a system with two-degrees of freedom in analogy with eigen time functions oscillations of transversal vibrations of two body system dynamics are presented. Structural analogies are identified between eigen time functions of different multi-coupled deformable body transversal vibrations (plates, beams, belts or membranes). Mathematical phenomenology elements and phenomenological mappings are applied in the scientific results integration. Mathematical analogy and phenomenological mappings of linear and nonlinear singular phenomena in discrete and multi-body system vibrations (torsional system, multi-pendulum system, coupled electrical circuit and multi-deformable-body oscillations-beams, plates, membranes) are performed. Structural analogy is used to explain phenomenological mappings between displacements of the mass particles in discrete system and eigen time functions in one eigen amplitude mode of dynamics in two coupled deformable body (beams, plates or membranes) systems., Predstavljeni su novi analitički i numerički rezultati o dinamici linearnih i nelinearnih sistema sa sva stepena slobode kretanja. Za mehaničke sisteme sa dva stepena slobode kretanja izučavane su, analitički i numerički sa odgovarajućim poređenjima svojstava između sopstvenih i prinudnih režima, oscilatorne linearne i nelinearne dinamike u njima. Koristeći teoriju Mihaila Petrovića - Elementi matematičke fenomenologije i Fenomenološko preslikavanje, u oscilacijama, signalima, fenomenima rezonancija i dinamičkoj apsorpciji u modelima sa dva stepena slobode dinamika apstrakcija različitih modela realnih sistema identifikovane su matematička i kvailitativne analogije sa sopstvenim vremenskim funkcijama transverzalnih oscilacija sistema više spregnutih deformabilnih tela (ploča, greda, traka ili membrana) i predstavljene. Matematički opis jednog mehaničkog lanca sa dvema matrijalnim tačkama spregnutim linearno elastičnom ili nelinearno elastičnim oprugama i sa dva stepena slobode kretanja je prikazan zajedno sa odgovarajućom analizom kinetičkih parametara u analogiji sa sistemom dvaju spregnutih tela diskretno-kontinualnim spojem. Analizom odgovarajućih rešenja za sopstvene i prinudne dvofrekventne režime oscilacija i rezonantnih stanja, kao i stanja dinamičke apsorpcije došlo se do novih saznanja o interakciji modova u nelinearnoj dinamici. Korišćenjem matematičke analogije i fenomenološkog preslikavanja svojstvenih fenomena izučavanog mehaničkog sistema, pokazano je da se ta saznanja mogu koristiti za saznanja o fenomenima i svojstvima dinamika drugih apstrakcija realnih sistema modelima sistema sa dva stepena slobode oscilovanja (npr. dvojnog klatna, ili modela torzijskih oscilacija vratila sa dva diska, ili dvojnog električnog kola, kao i transverzalnih oscilacija spregnutih dveju greda, ili ploča ili membrana). Fenomenološko preslikavanje je korišćeno za objašnjavanje dinamike sopstvenih vremenskih funkcija u sistemu spregnutih jednakih deformabilnih tela (greda, ploča, ili membrana). I u najkraćem, analitički i numerički rezultati linearnih i nelinearnih dinamika sistema sa dva stepena slobode su prikazani kao univerzalni, koji se mogu preneti i na razlićite druge sisteme analogijama i preslikavanjima linearnih i nelinearnih fenomena.",
publisher = "Belgrade, Serbia : Military Technical Institute",
journal = "Scientific Technical Review",
title = "Oscillators: Phenomenological mappings and analogies: Second part: Structural analogy and chains, Oscillateurs: Correspondance phénoménologiques et analogies: Deuxieme partie: Analogie structurale et les chaînes, Oscilatori - fenomenološko preslikavanje i analogije - drugi deo - strukturna analogija i lanci",
volume = "65",
number = "4",
pages = "37-45",
doi = "10.5937/STR1504037S"
}
Hedrih-Stevanović, K., Ivanović-Šašić, A., Simonović, J., Kolar-Anić, L.,& Čupić, Ž.. (2015). Oscillators: Phenomenological mappings and analogies: Second part: Structural analogy and chains. in Scientific Technical Review
Belgrade, Serbia : Military Technical Institute., 65(4), 37-45.
https://doi.org/10.5937/STR1504037S
Hedrih-Stevanović K, Ivanović-Šašić A, Simonović J, Kolar-Anić L, Čupić Ž. Oscillators: Phenomenological mappings and analogies: Second part: Structural analogy and chains. in Scientific Technical Review. 2015;65(4):37-45.
doi:10.5937/STR1504037S .
Hedrih-Stevanović, Katica, Ivanović-Šašić, Ana, Simonović, Julijana, Kolar-Anić, Ljiljana, Čupić, Željko, "Oscillators: Phenomenological mappings and analogies: Second part: Structural analogy and chains" in Scientific Technical Review, 65, no. 4 (2015):37-45,
https://doi.org/10.5937/STR1504037S . .
1

Oscillators: Phenomenological mappings and analogies: First part: Mathematical analogy and chains

Hedrih-Stevanović, Katica; Ivanović-Šašić, Ana; Simonović, Julijana; Kolar-Anić, Ljiljana; Čupić, Željko

(Vojnotehnički institut, Beograd, 2015)

TY  - JOUR
AU  - Hedrih-Stevanović, Katica
AU  - Ivanović-Šašić, Ana
AU  - Simonović, Julijana
AU  - Kolar-Anić, Ljiljana
AU  - Čupić, Željko
PY  - 2015
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/1729
AB  - New analytical and numerical results of dynamics for both linear and nonlinear system with two degrees of freedom are presented. For a mechanical chain system with two degrees of freedom, oscillations are investigated analytically and numerically with corresponding comparing between free and forced oscillatory dynamics of linear and nonlinear system. Also, energy analysis and transient energy between the mass particles in the system are discussed. Using Mihailo Petrović's theory of the mathematical phenomenology elements, phenomenological mappings in vibrations, signals, resonances and dynamical absorptions in models with two degrees of freedom - the abstractions of a different real system dynamics are identified and presented. Mathematical description of a chain mechanical system with two mass particles coupled by linear and nonlinear elastic springs and with two degrees of freedom is given. By analysis of corresponding solutions for free and forced vibrations, series of related two-frequency regimes and resonant states, as well as dynamical absorption states, are identified. Besides, by mathematical analogy and phenomenological mappings, the analysis of series of dynamics of other two degrees of freedom models dynamics (torsional system, double pendulum system, double electrical circuit) is performed.
AB  - Predstavljeni su novi analitički i numerički rezultati o dinamici linearnih i nelinearnih sistema sa dva stepena slobode kretanja. Za mehaničke lance izučavane su, analitički i numerički sa odgovarajućim poredjenjima svojstava izmedju sopstvenih i prinudnih režima, oscilatorne linearne i nelinearne dinamike u njima. Predstavljena je i energijska analiza dinamika i transfer energije medju podsistemima. Koristeći teoriju Mihaila Petrovića ''Elementi matematičke fonomenologije'' i ''Fenomenološko preslikavanje'', u oscilacijama, signalima, fenomenima rezonancija i dinamičkojapsorbciji, u tim modelima, dinamička apstrakcija različitih modela realnih sistema identifikovane su matematička i kvailitativne analogije. Matematički opis jednog mehaničkog lanca sa dvema materijalnim tačkama spregnutim linearnoelastičnom ili nelinearno elastičnim oprugama i sa dva stepena slobode kretanja je prikazan zajedno sa odgovarajućom alaizom kinetičkih parametara. Analizom odgovarajućih rešenja za sopstvene i prinudne dvofrekventne režime oscilacija i rezonantnih stanja, kao i stanja dinamičke apsorpcije došlo se do novih sazanja o interakciji modova u nelinearnoj dinamici. Korišćenjem matematičke analogije i fenomenološkog preslikavanja svojstvenih fenomena izučavanog mehaničkog sistema, pokazano je da se ta saznanja mogu koristiti za saznanja o fenomenima i svojstvima dinamika drugih apstrakcija realnih sistema modelima sistema sa dva stepena slobode oscilovanja (napr. dvojnog klatna, ili modela torzijskih oscilacija vratila sa dva diska, ili dvojnog električnog kola). I u najkraćem, analitički i numerički rezultati linearnih i nelinearnih dinamika sistema sa dva stepena slobode su prikazani kao univerzalni, koji se mogu preneti i na različite druge sisteme analogijama i preslikavanjima fenomena.
PB  - Vojnotehnički institut, Beograd
T2  - Scientific Technical Review
T1  - Oscillators: Phenomenological mappings and analogies: First part: Mathematical analogy and chains
T1  - Oscillateurs: Application phénoménologique et analogies - Première partie: Analogie mathématique et chaînes
T1  - Oscilatori - fenomenološko preslikavanje i analogije - prvi deo - matematička analogija i lanci
VL  - 65
IS  - 3
SP  - 27
EP  - 38
DO  - 10.5937/STR1503027S
ER  - 
@article{
author = "Hedrih-Stevanović, Katica and Ivanović-Šašić, Ana and Simonović, Julijana and Kolar-Anić, Ljiljana and Čupić, Željko",
year = "2015",
abstract = "New analytical and numerical results of dynamics for both linear and nonlinear system with two degrees of freedom are presented. For a mechanical chain system with two degrees of freedom, oscillations are investigated analytically and numerically with corresponding comparing between free and forced oscillatory dynamics of linear and nonlinear system. Also, energy analysis and transient energy between the mass particles in the system are discussed. Using Mihailo Petrović's theory of the mathematical phenomenology elements, phenomenological mappings in vibrations, signals, resonances and dynamical absorptions in models with two degrees of freedom - the abstractions of a different real system dynamics are identified and presented. Mathematical description of a chain mechanical system with two mass particles coupled by linear and nonlinear elastic springs and with two degrees of freedom is given. By analysis of corresponding solutions for free and forced vibrations, series of related two-frequency regimes and resonant states, as well as dynamical absorption states, are identified. Besides, by mathematical analogy and phenomenological mappings, the analysis of series of dynamics of other two degrees of freedom models dynamics (torsional system, double pendulum system, double electrical circuit) is performed., Predstavljeni su novi analitički i numerički rezultati o dinamici linearnih i nelinearnih sistema sa dva stepena slobode kretanja. Za mehaničke lance izučavane su, analitički i numerički sa odgovarajućim poredjenjima svojstava izmedju sopstvenih i prinudnih režima, oscilatorne linearne i nelinearne dinamike u njima. Predstavljena je i energijska analiza dinamika i transfer energije medju podsistemima. Koristeći teoriju Mihaila Petrovića ''Elementi matematičke fonomenologije'' i ''Fenomenološko preslikavanje'', u oscilacijama, signalima, fenomenima rezonancija i dinamičkojapsorbciji, u tim modelima, dinamička apstrakcija različitih modela realnih sistema identifikovane su matematička i kvailitativne analogije. Matematički opis jednog mehaničkog lanca sa dvema materijalnim tačkama spregnutim linearnoelastičnom ili nelinearno elastičnim oprugama i sa dva stepena slobode kretanja je prikazan zajedno sa odgovarajućom alaizom kinetičkih parametara. Analizom odgovarajućih rešenja za sopstvene i prinudne dvofrekventne režime oscilacija i rezonantnih stanja, kao i stanja dinamičke apsorpcije došlo se do novih sazanja o interakciji modova u nelinearnoj dinamici. Korišćenjem matematičke analogije i fenomenološkog preslikavanja svojstvenih fenomena izučavanog mehaničkog sistema, pokazano je da se ta saznanja mogu koristiti za saznanja o fenomenima i svojstvima dinamika drugih apstrakcija realnih sistema modelima sistema sa dva stepena slobode oscilovanja (napr. dvojnog klatna, ili modela torzijskih oscilacija vratila sa dva diska, ili dvojnog električnog kola). I u najkraćem, analitički i numerički rezultati linearnih i nelinearnih dinamika sistema sa dva stepena slobode su prikazani kao univerzalni, koji se mogu preneti i na različite druge sisteme analogijama i preslikavanjima fenomena.",
publisher = "Vojnotehnički institut, Beograd",
journal = "Scientific Technical Review",
title = "Oscillators: Phenomenological mappings and analogies: First part: Mathematical analogy and chains, Oscillateurs: Application phénoménologique et analogies - Première partie: Analogie mathématique et chaînes, Oscilatori - fenomenološko preslikavanje i analogije - prvi deo - matematička analogija i lanci",
volume = "65",
number = "3",
pages = "27-38",
doi = "10.5937/STR1503027S"
}
Hedrih-Stevanović, K., Ivanović-Šašić, A., Simonović, J., Kolar-Anić, L.,& Čupić, Ž.. (2015). Oscillators: Phenomenological mappings and analogies: First part: Mathematical analogy and chains. in Scientific Technical Review
Vojnotehnički institut, Beograd., 65(3), 27-38.
https://doi.org/10.5937/STR1503027S
Hedrih-Stevanović K, Ivanović-Šašić A, Simonović J, Kolar-Anić L, Čupić Ž. Oscillators: Phenomenological mappings and analogies: First part: Mathematical analogy and chains. in Scientific Technical Review. 2015;65(3):27-38.
doi:10.5937/STR1503027S .
Hedrih-Stevanović, Katica, Ivanović-Šašić, Ana, Simonović, Julijana, Kolar-Anić, Ljiljana, Čupić, Željko, "Oscillators: Phenomenological mappings and analogies: First part: Mathematical analogy and chains" in Scientific Technical Review, 65, no. 3 (2015):27-38,
https://doi.org/10.5937/STR1503027S . .
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