| 几何非线性平板的热力,动力耦合振动 |
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| 引用本文： | 沈文钧 李宁. 几何非线性平板的热力,动力耦合振动[J]. 振动工程学报, 1990, 3(1): 1-9 |
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| 作者姓名： | 沈文钧 李宁 |
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| 作者单位： | 西安交通大学(沈文钧)，空军工程学院(李宁) |
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| 基金项目： | 国家自然科学基金会资助项目 |
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| 摘 要： | 本文根据由热力学第一、第二定律推出的能量守恒方程,进而导出平板几何非线性热力动力耦合振动有限元方程组,提出一种计算量少,精度高的校正显式积分格式,求解耦合方程组的时间历程问题。研究了热力动力耦合平板横向振动振幅频率的影响及热弹阻尼现象。
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| 关 键 词： | 振动分析方法 板 热力动力耦合 能量守恒 几何非线性 热弹阻尼 |
Geometrically Nonlinear Vibration of Plates in the Dynamic Theory of Coupled Thermoelasticity |
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| Shen Wenjun. Geometrically Nonlinear Vibration of Plates in the Dynamic Theory of Coupled Thermoelasticity[J]. Journal of Vibration Engineering, 1990, 3(1): 1-9 |
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| Authors: | Shen Wenjun |
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| Affiliation: | Shen Wenjun (Xi'an Jiaotong University)Li Ning (Air Force College of Engineering) |
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| Abstract: | The energy conservation equation is derived from the first and second laws ofthermodynamics,furthermore,the FEM equations of a geometrically nonlinearplate in the dynamic theory of coupled thermoelasticity are obtained from theenergy conservation equation.A corrected explicit schem with less calculation andhigh accuracy is presented for solving the transient response of coupled equationsof the plate.The influence of thermodynamic coupling on the amplitude and thefrequency of plate vibration and the thermoelastic damping phenomenon are studied,and the thermoelastic damping of a simply supported rectangular plate is consideredin detail.The thermoela stically coupled vibration mechanism is further revealed. |
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| Keywords: | vibration analysis method plates(structure) dynamics of coupled thermoelasticity energy conservation geometrically non-linearity thermoelastic damping |
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