Nonlinear forced vibration analysis of composite beam considering internal damping

2022 ◽  
Author(s):  
Kwangchol Kim ◽  
Kwangchol Ri ◽  
Cholil Yun ◽  
Choljun Pak ◽  
Poknam Han
Keyword(s):  
Forced Vibration ◽  
Composite Beam ◽  
Vibration Analysis ◽  
Internal Damping ◽  
Nonlinear Forced Vibration ◽  
Forced Vibration Analysis

scholarly journals Nonlinear forced vibration analysis of composite beam combined with DQFEM and IHB

AIP Advances ◽  
2020 ◽  
Vol 10 (8) ◽  
pp. 085112
Author(s):  
Kwangchol Ri ◽  
Poknam Han ◽  
Inchol Kim ◽  
Wonchol Kim ◽  
Hyonbok Cha
Keyword(s):  
Forced Vibration ◽  
Composite Beam ◽  
Vibration Analysis ◽  
Nonlinear Forced Vibration ◽  
Forced Vibration Analysis

Nonlinear Forced Vibration Analysis of FG-CNTRC Cylindrical Shells Under Thermal Loading Using a Numerical Strategy

2017 ◽  
Vol 09 (08) ◽  
pp. 1750108 ◽  
Author(s):  
Emad Hasrati ◽  
Reza Ansari ◽  
Jalal Torabi
Keyword(s):  
Frequency Response ◽  
Forced Vibration ◽  
Vibration Analysis ◽  
Cylindrical Shells ◽  
Continuation Method ◽  
Governing Equations ◽  
Nonlinear Forced Vibration ◽  
Forced Vibration Analysis ◽  
Numerical Strategy ◽  
Composite Cylindrical Shells

Employing an efficient numerical strategy, the nonlinear forced vibration analysis of composite cylindrical shells reinforced with single-walled carbon nanotubes (CNTs) is carried out. It is assumed that the distribution of CNTs along the thickness direction of the shell is uniform or functionally graded and the temperature dependency of the material properties is accounted. The governing equations are presented based on the first-order shear deformation theory along with von-Karman nonlinear strain-displacement relations. The vectorized form of energy functional is derived and directly discretized using numerical differential and integral operators. By the use of variational differential quadrature (VDQ) method, discretized nonlinear governing equations are obtained. Then, the time periodic differential operators are applied to perform the discretization procedure in time domain. Finally, the pseudo-arc length continuation method is employed to solve the nonlinear governing equations and trace the frequency response curve of the nanocomposite cylindrical shell. A comparison study is first presented to verify the efficiency and validity of the proposed numerical method. Comprehensive numerical results are then given to investigate the effects of the involved factors on the nonlinear forced vibration characteristics of the structure. The results show that the changes of fundamental vibrational mode shape have considerable effects on the frequency response curves of composite cylindrical shells reinforced with CNTs.

Nonlinear forced vibration analysis of a rotating three-dimensional tapered cantilever beam

2020 ◽  
pp. 107754632094971 ◽  
Author(s):  
Yanxun Zhou ◽  
Yimin Zhang ◽  
Guo Yao
Keyword(s):  
Cantilever Beam ◽  
Forced Vibration ◽  
Vibration Analysis ◽  
Three Dimensional ◽  
Time History ◽  
Excitation Amplitude ◽  
Axial Deformation ◽  
Nonlinear Forced Vibration ◽  
Tapered Cantilever Beam ◽  
Forced Vibration Analysis

In this article, nonlinear forced vibration analysis is carried out for a rotating three-dimensional tapered cantilever beam subjected to a uniformly distributed load. Considering the effects of Coriolis terms, static axial deformation and geometric nonlinearity in modeling process, nonlinear partial motion equations of a rotating tapered Euler–Bernoulli beam are established by using Hamilton’s principle. Galerkin’s procedure is used to discretize the equations to obtain the dynamic response of the beam. Frequency responses, the time-history response, the phase diagram, and the Poincaré map are introduced to study the effects of the taper ratio, rotating velocity, radius of hub, and external excitation on the nonlinear resonances and detailed responses of the rotating three-dimensional tapered beam. Results show that the fundamental natural frequency increases with the increase of the taper ratio, radius of hub, and rotating velocity. Besides, by increasing the taper ratio and excitation amplitude and decreasing the rotating velocity and radius of hub, the nonlinearity and vibration amplitude of the rotating beam intensify.

Nonlinear Forced Vibration Analysis for Thin Rectangular Plate on Nonlinear Elastic Foundation

2012 ◽  
Vol 204-208 ◽  
pp. 4716-4721 ◽  
Author(s):  
Yong Gang Xiao ◽  
Cui Ping Yang ◽  
Hui Hu
Keyword(s):  
Rectangular Plate ◽  
Elastic Foundation ◽  
Forced Vibration ◽  
Vibration Analysis ◽  
Thin Rectangular Plate ◽  
Nonlinear Elastic Foundation ◽  
Nonlinear Forced Vibration ◽  
Forced Vibration Analysis ◽  
Nonlinear Elastic ◽  
Free Edges

In this paper, nonlinear forced vibration analysis for thin rectangular plate with four free edges on nonlinear elastic foundation is researched. Based on Hamilton variation principle, the equations of nonlinear vibration motion for the thin rectangular plate under period loads on nonlinear elastic foundation are established. In the case of four free edges, the suitable expressions of trial functions satisfied all boundary conditions for the problem are proposed. Then, we convert the equations to a system of nonlinear algebraic equations by using Galerkin method and they are solved by using harmonic balance method. In the analysis of numerical computations, the effect to the amplitude-frequency characteristic curve which due to change of the structural parameters of plate、the parameters of foundation and the parameters of excitation force are discussed.

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