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Keywords: approximation theory
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Journal Articles

On Asymptotic Analysis for Large Amplitude Nonlinear Free Vibration of Simply Supported Laminated Plates

S. K. Lai, C. W. Lim, Y. Xiang, W. Zhang
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. October 2009, 131(5): 051010.
https://doi.org/10.1115/1.3142881
Published Online: September 21, 2009
... and compared with other published results to demonstrate the applicability and effectiveness of the approach. 15 11 2007 28 01 2009 21 09 2009 approximation theory laminates nonlinear differential equations plates (structures) vibrations asymptotic analysis simply supported...
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Topics: Approximation, Free vibrations, Nonlinear differential equations, Nonlinear systems, Plates (structures), Vibration, Nonlinear vibration, Differential equations, Vibration equipment
Journal Articles

Modeling and Computation for the High-Speed Rotating Flexible Structure

Yong-an Huang, Zhou-ping Yin, You-lun Xiong
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. August 2008, 130(4): 041005.
https://doi.org/10.1115/1.2890386
Published Online: July 1, 2008
... . approximation theory differential equations finite element analysis flexible structures piezoelectric materials rotation Rotating flexible structure multibody dynamics piezoelectric material Hamiltonian principle symplectic algorithm precise integration method An important subarea...
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Topics: Algorithms, Flexible structures, Runge-Kutta methods, Computer simulation, Computation, Modeling, Deformation, Displacement, Rotation
Journal Articles

Closure to “Discussion on ‘Vibration Analysis of Non-Classically Damped Linear Systems’ ” (2004, ASME J. Vib. Acoust., 126 )

Z. S. Liu,, D. T. Song, and, C. Huang, D. J. Wang, S. H. Chen
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Article
J. Vib. Acoust. February 2005, 127(1): 103.
https://doi.org/10.1115/1.1857927
Published Online: March 21, 2005
...Z. S. Liu,; D. T. Song, and; C. Huang; D. J. Wang; S. H. Chen 21 03 2005 vibrations damping approximation theory matrix algebra differential equations eigenvalues and eigenfunctions We appreciate S. M. Shahruz for his interest in our paper and for the useful comments...
View Article titled, Closure to “Discussion on ‘Vibration Analysis of Non-Classically Damped Linear Systems’ ” (2004, ASME J. Vib. Acoust., 126 )
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Topics: Approximation, Damping, Differential equations, Eigenfunctions, Eigenvalues, Matrix algebra, Vibration, Vibration analysis