Analyzing the Stability of a Connected Moving Cart on an Inclined Surface with a Damped Nonlinear Spring DOI Creative Commons
Muneerah Al Nuwairan, T. S. Amer,

W. S. Amer

et al.

Axioms, Journal Year: 2024, Volume and Issue: 13(9), P. 596 - 596

Published: Aug. 31, 2024

This paper examines the stability behavior of nonlinear dynamical motion a vibrating cart with two degrees freedom (DOFs). Lagrange’s equations are employed to establish mechanical regulating system examined motion. The proposed approximate solutions (ASs) this estimated through use multiple-scales method (MSM). These considered novel as MSM is being applied new model. Secular terms have been eliminated meet solvability criteria, and every instance resonance that arises categorized, where them concurrently. Therefore, modulation developed based on representations unknown complex function in polar form. for steady state calculated using corresponding fixed points. achieved displayed graphically illustrate impact manipulating system’s parameters compared numerical (NSs) original equations. comparison shows great deal consistency solution, which indicates accuracy method. criteria Routh–Hurwitz assess instability zones. value model exhibited by its wide range applications involving ship motion, swaying architecture, transportation infrastructure, rotor dynamics.

Language: Английский

Nonlinear thermoelastic wave propagation in general FGM sandwich rectangular plates DOI
Chen Liang, Guifeng Wang, Zhenyu Chen

et al.

Thin-Walled Structures, Journal Year: 2024, Volume and Issue: 200, P. 111933 - 111933

Published: April 25, 2024

Language: Английский

Citations

3
Nonlinear vibrations, bifurcations and chaos of piezoelectric composite lattice sandwich plate with four simply supported edges DOI
Tianjiao Ma, Zhang We,

Y.F. Zhang

et al.

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 183, P. 114940 - 114940

Published: May 3, 2024

Language: Английский

Citations

3
Bending and buckling analysis of functionally graded graphene platelets reinforced composite plates supported by local elastic foundations based on simple refined plate theory DOI
Xiangyu Gao, Zhuang-Zhuang Wang, Liansheng Ma

et al.

Archive of Applied Mechanics, Journal Year: 2024, Volume and Issue: 94(8), P. 2123 - 2150

Published: June 8, 2024

Language: Английский

Citations

3
Frequency stabilization in a pseudo-linear micromechanical parametric oscillator DOI
Yutao Xu,

Lianxiang Wang,

Chunhui Wang

et al.

International Journal of Mechanical Sciences, Journal Year: 2024, Volume and Issue: 280, P. 109610 - 109610

Published: July 30, 2024

Citations

3
Nonlinear Dynamic Characteristics of Smart FG-GPLRC Sandwich Varying Thickness Truncated Conical Shell with Internal Resonance for First Three Order Modes DOI
S. W. Yang,

Zhiquan Wang,

Yuxin Hao

et al.

Aerospace Science and Technology, Journal Year: 2024, Volume and Issue: unknown, P. 109672 - 109672

Published: Oct. 1, 2024

Language: Английский

Citations

3
Application of bilateral iterative displacement control method to nonlinear free vibration analysis of dual-FG nanocomposite circular plates DOI
Juan Wang,

Xie Jiang

Communications in Nonlinear Science and Numerical Simulation, Journal Year: 2024, Volume and Issue: 138, P. 108236 - 108236

Published: July 22, 2024

Language: Английский

Citations

2
Nonlinear vibrations of three-phase composite truncated conical shells affected by complex factors under 1:1 internal resonance DOI
Zheng Yan,

Jinqiu Duan,

Tao Liu

et al.

Communications in Nonlinear Science and Numerical Simulation, Journal Year: 2024, Volume and Issue: 140, P. 108427 - 108427

Published: Oct. 31, 2024

Language: Английский

Citations

2
Nonlinear dynamic buckling of a simply supported imperfect nanocomposite shear deformable plate under the effect of in-plane velocities DOI
Ahmed Y. Ali, Hamad M. Hasan, Farag Mahel Mohammed

et al.

Communications in Nonlinear Science and Numerical Simulation, Journal Year: 2024, Volume and Issue: 138, P. 108232 - 108232

Published: July 17, 2024

Language: Английский

Citations

1
Postbuckling and nonlinear free vibration of postbuckled porous functionally graded micro/nanotubes via nonlocal strain and velocity gradient theory DOI
Sima Ziaee

International Journal of Non-Linear Mechanics, Journal Year: 2024, Volume and Issue: 166, P. 104862 - 104862

Published: July 31, 2024

Language: Английский

Citations

0
Analyzing the Stability of a Connected Moving Cart on an Inclined Surface with a Damped Nonlinear Spring DOI Creative Commons
Muneerah Al Nuwairan, T. S. Amer,

W. S. Amer

et al.

Axioms, Journal Year: 2024, Volume and Issue: 13(9), P. 596 - 596

Published: Aug. 31, 2024

This paper examines the stability behavior of nonlinear dynamical motion a vibrating cart with two degrees freedom (DOFs). Lagrange’s equations are employed to establish mechanical regulating system examined motion. The proposed approximate solutions (ASs) this estimated through use multiple-scales method (MSM). These considered novel as MSM is being applied new model. Secular terms have been eliminated meet solvability criteria, and every instance resonance that arises categorized, where them concurrently. Therefore, modulation developed based on representations unknown complex function in polar form. for steady state calculated using corresponding fixed points. achieved displayed graphically illustrate impact manipulating system’s parameters compared numerical (NSs) original equations. comparison shows great deal consistency solution, which indicates accuracy method. criteria Routh–Hurwitz assess instability zones. value model exhibited by its wide range applications involving ship motion, swaying architecture, transportation infrastructure, rotor dynamics.

Language: Английский

Citations

0