Inextensible Beam and Plate Theory: Computational Analysis and Comparison With Experiment
Inextensible Beam and Plate Theory: Computational Analysis and Comparison With Experiment
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不可延伸梁和板理论：计算分析及与实验的比较
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
E. Dowell
中科院分区：
文献类型：
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作者：
D. Tang;Minghui Zhao;E. Dowell
本文发展了一种新的梁板变形的不可伸长理论。为了验证这种不可扩展的梁和板理论，静态和动态非线性梁和板模态方程的计算代码已经开发。对梁的静载和静变形的计算和实验表明，不可伸长理论的结果与实验符合得很好。此外，板的不可伸展理论与静态实验的比较是令人鼓舞的。最后对不可伸长梁和板的动挠度进行了数值研究。结果表明，滞后动态响应取决于是否激励频率增加或减少的刚度非线性或仅为惯性非线性。惯性非线性力在共振频率范围内对系统的动态响应有显著影响。
A new inextensible theory of beam and plate deformation has been developed. For validation of this inextensible beam and plate theory, computational codes for the static and dynamic nonlinear beam and plate modal equations have been developed. The computations and experiments for static loading and deformation of a beam show that the inextensible theory produces results in excellent agreement with experiment. Also a comparison of the inextensible theory for a plate with a static experiment is encouraging. Finally a numerical study of dynamic deflection for a inextensible beam and plate also has been made. The results show a hysteresis dynamic response that depends on whether the excitaion frequency is increasing or decreasing for the stiffness nonlinearity only or for the inertia nonlinearity only. The inertia nonlinear force has a significant effect on the dynamic response in the resonant frequency range.