KULVIETIENE, Regina ;KULVIETIS, Genadijus ;TUMASONIENE, Inga . A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom. Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 52, n.5, p. 309-316, august 2017. ISSN 0039-2480. Available at: <https://www.sv-jme.eu/article/a-symbolic-numeric-vibrations-analysis-of-systems-with-many-degrees-of-freedom/>. Date accessed: 23 nov. 2024. doi:http://dx.doi.org/.
Kulvietiene, R., Kulvietis, G., & Tumasoniene, I. (2006). A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom. Strojniški vestnik - Journal of Mechanical Engineering, 52(5), 309-316. doi:http://dx.doi.org/
@article{.,
author = {Regina Kulvietiene and Genadijus Kulvietis and Inga Tumasoniene},
title = {A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom},
journal = {Strojniški vestnik - Journal of Mechanical Engineering},
volume = {52},
number = {5},
year = {2006},
keywords = {vibration analysis; computer algebra; symbolic-numeric computations; steady state; },
abstract = {Computer algebra techniques were applied to analyze the vibrations of systems with many degrees of freedom. For this purpose, two solution methods were compared from the computer algebra point of view, and the harmonic balance method was chosen. The system is divided into linear and nonlinear parts. The linear part of the system can be formalized as usual, and symbolic computations were applied to perform a closed-form solution of the nonlinear part. The symbolic-numeric approach chosen, specially dedicated to systems with many degrees of freedom, affords various advantages: it leads to a simplification of the theoretical formulation of the models, a considerable reduction in the size of the generated equations, and hence in the resulting computing time, and also enhanced portability of the multibody models to other specific environments},
issn = {0039-2480}, pages = {309-316}, doi = {},
url = {https://www.sv-jme.eu/article/a-symbolic-numeric-vibrations-analysis-of-systems-with-many-degrees-of-freedom/}
}
Kulvietiene, R.,Kulvietis, G.,Tumasoniene, I. 2006 August 52. A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 52:5
%A Kulvietiene, Regina %A Kulvietis, Genadijus %A Tumasoniene, Inga %D 2006 %T A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom %B 2006 %9 vibration analysis; computer algebra; symbolic-numeric computations; steady state; %! A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom %K vibration analysis; computer algebra; symbolic-numeric computations; steady state; %X Computer algebra techniques were applied to analyze the vibrations of systems with many degrees of freedom. For this purpose, two solution methods were compared from the computer algebra point of view, and the harmonic balance method was chosen. The system is divided into linear and nonlinear parts. The linear part of the system can be formalized as usual, and symbolic computations were applied to perform a closed-form solution of the nonlinear part. The symbolic-numeric approach chosen, specially dedicated to systems with many degrees of freedom, affords various advantages: it leads to a simplification of the theoretical formulation of the models, a considerable reduction in the size of the generated equations, and hence in the resulting computing time, and also enhanced portability of the multibody models to other specific environments %U https://www.sv-jme.eu/article/a-symbolic-numeric-vibrations-analysis-of-systems-with-many-degrees-of-freedom/ %0 Journal Article %R %& 309 %P 8 %J Strojniški vestnik - Journal of Mechanical Engineering %V 52 %N 5 %@ 0039-2480 %8 2017-08-18 %7 2017-08-18
Kulvietiene, Regina, Genadijus Kulvietis, & Inga Tumasoniene. "A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom." Strojniški vestnik - Journal of Mechanical Engineering [Online], 52.5 (2006): 309-316. Web. 23 Nov. 2024
TY - JOUR AU - Kulvietiene, Regina AU - Kulvietis, Genadijus AU - Tumasoniene, Inga PY - 2006 TI - A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom JF - Strojniški vestnik - Journal of Mechanical Engineering DO - KW - vibration analysis; computer algebra; symbolic-numeric computations; steady state; N2 - Computer algebra techniques were applied to analyze the vibrations of systems with many degrees of freedom. For this purpose, two solution methods were compared from the computer algebra point of view, and the harmonic balance method was chosen. The system is divided into linear and nonlinear parts. The linear part of the system can be formalized as usual, and symbolic computations were applied to perform a closed-form solution of the nonlinear part. The symbolic-numeric approach chosen, specially dedicated to systems with many degrees of freedom, affords various advantages: it leads to a simplification of the theoretical formulation of the models, a considerable reduction in the size of the generated equations, and hence in the resulting computing time, and also enhanced portability of the multibody models to other specific environments UR - https://www.sv-jme.eu/article/a-symbolic-numeric-vibrations-analysis-of-systems-with-many-degrees-of-freedom/
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author = {Kulvietiene, R., Kulvietis, G., Tumasoniene, I.},
title = {A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom},
journal = {Strojniški vestnik - Journal of Mechanical Engineering},
volume = {52},
number = {5},
year = {2006},
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TY - JOUR AU - Kulvietiene, Regina AU - Kulvietis, Genadijus AU - Tumasoniene, Inga PY - 2017/08/18 TI - A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom JF - Strojniški vestnik - Journal of Mechanical Engineering; Vol 52, No 5 (2006): Strojniški vestnik - Journal of Mechanical Engineering DO - KW - vibration analysis, computer algebra, symbolic-numeric computations, steady state, N2 - Computer algebra techniques were applied to analyze the vibrations of systems with many degrees of freedom. For this purpose, two solution methods were compared from the computer algebra point of view, and the harmonic balance method was chosen. The system is divided into linear and nonlinear parts. The linear part of the system can be formalized as usual, and symbolic computations were applied to perform a closed-form solution of the nonlinear part. The symbolic-numeric approach chosen, specially dedicated to systems with many degrees of freedom, affords various advantages: it leads to a simplification of the theoretical formulation of the models, a considerable reduction in the size of the generated equations, and hence in the resulting computing time, and also enhanced portability of the multibody models to other specific environments UR - https://www.sv-jme.eu/article/a-symbolic-numeric-vibrations-analysis-of-systems-with-many-degrees-of-freedom/
Kulvietiene, Regina, Kulvietis, Genadijus, AND Tumasoniene, Inga. "A Symbolic-Numeric Vibrations Analysis of Systems with Many Degrees of Freedom" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 52 Number 5 (18 August 2017)
Strojniški vestnik - Journal of Mechanical Engineering 52(2006)5, 309-316
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.
Computer algebra techniques were applied to analyze the vibrations of systems with many degrees of freedom. For this purpose, two solution methods were compared from the computer algebra point of view, and the harmonic balance method was chosen. The system is divided into linear and nonlinear parts. The linear part of the system can be formalized as usual, and symbolic computations were applied to perform a closed-form solution of the nonlinear part. The symbolic-numeric approach chosen, specially dedicated to systems with many degrees of freedom, affords various advantages: it leads to a simplification of the theoretical formulation of the models, a considerable reduction in the size of the generated equations, and hence in the resulting computing time, and also enhanced portability of the multibody models to other specific environments