Parametric characteristic of the random vibration response of nonlinear systems
Acta Mechanica Sinica, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dong, Xing-Jian +4 more
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Nonlinear Parametric Vibrations of Viscoelastic Orthotropic Cylindrical Shells
Soviet Applied Mechanics, 1980Bogdanovich, A. E., Feldmane, Eh. G.
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Nonlinear problems of parametric vibrations of imperfect laminated plates
Composite Structures, 1989Abstract Two nonlinear problems of parametric vibrations of imperfect antisymmetrically laminated angle-ply plates are considered. In the first problem the response of plates subjected to biaxial pulsating loads is studied. The second problem deals with the behavior of the plate initially subjected to axial static loading.
Victor Birman, Hussein Zahed
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Nonlinear Parametric Vibrations of an Elastic Structure with a Rectangular Liquid Tank
Nonlinear Dynamics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dynamics of nonlinear transversely vibrating beams: Parametric and closed-form solutions
Applied Mathematical Modelling, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qin, Yupeng, Wang, Zhen, Zou, Li
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Parametric vibration stability and active control of nonlinear beams
Applied Mathematics and Mechanics, 2012The vibration stability and the active control of the parametrically excited nonlinear beam structures are studied by using the piezoelectric material. The velocity feedback control algorithm is used to obtain the active damping. The cubic nonlinear equation of motion with damping is established by employing Hamilton’s principle.
Feng-ming Li, Chun-chuan Liu
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Nonlinear Vibration of Parametrically Excited Viscoelastic Moving Belts
Volume 7A: 17th Biennial Conference on Mechanical Vibration and Noise, 1999Abstract The dynamic response and stability of parametrically excited viscoelastic belts are investigated in this paper. The linear viscoelastic differential constitutive law is employed to characterize the material property of belts.
Lixin Zhang, Jean W. Zu
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Dynamic stability and nonlinear parametric vibration of cylindrical shells
Computers & Structures, 1993Abstract Dynamic stability and nonlinear parametric vibration of ideal cylindrical shells and cylindrical shells with added mass are considered with regard to their geometrical nordinearity. Formation of a mathematical model is performed by means of the finite element method and the method of generalized coordinates.
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VIBRATION ANALYSIS OF A SELF-EXCITED SYSTEM WITH PARAMETRIC FORCING AND NONLINEAR STIFFNESS
International Journal of Bifurcation and Chaos, 1999Vibrations of a self-excited oscillator under parametric excitation with nonlinear stiffness were investigated in this paper. Differential equation of motion includes van der Pol, Mathieu and Duffing terms. Vibrations synchronization, stability of solutions were examined by means of the multiple time scale method and Floquet theory.
Litak, Grzegorz +3 more
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The Problems of Active Vibration Isolation in Nonlinear and Parametric Structures
13th Biennial Conference on Mechanical Vibration and Noise: Modal Analysis, Modeling, Diagnostics, and Control — Analytical and Experimental, 1991Abstract The theory of active vibration control based on the principle of broad-band compensation coupled with controllable vibration damping is presented. The applications of this principle to parametric and nonlinear mechanical structures are discussed.
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