| 柔韧扁锥壳在静载荷下的非线性振动 |
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| 引用本文： | 郑小荣,丁雪兴,何世权.柔韧扁锥壳在静载荷下的非线性振动[J].甘肃科学学报,2002,14(3):89-92. |
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| 作者姓名： | 郑小荣 丁雪兴 何世权 |
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| 作者单位： | 甘肃工业大学流体机械及流体动力系,甘肃,兰州,730050 |
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| 摘 要： | 用Green函数法，将柔韧扁锥壳在静载荷下的非线性振动问题化为等价的积分方程，并把摄动变分法应用于动力平衡方程的变分形式，得出了非线性固有频率和振幅间的二次近似特征关系。
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| 关 键 词： | 柔韧扁锥壳 静载荷 非线性振动 积分方程 摄动变分法 非线性固有频率 振幅 Green函数 |
| 文章编号： | 1004-0366(2002)03-0089-04 |
| 修稿时间： | 2002年3月19日 |
NONLINEAR VIBRATION OF FLEXIBLE SHALLOW CONIC SHELLS SUBJECTED TO STATIC LOADS |
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| ZHENG Xiao\|rong,DING Xue\|xing,HE Shi\|quan.NONLINEAR VIBRATION OF FLEXIBLE SHALLOW CONIC SHELLS SUBJECTED TO STATIC LOADS[J].Journal of Gansu Sciences,2002,14(3):89-92. |
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| Authors: | ZHENG Xiao\|rong DING Xue\|xing HE Shi\|quan |
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| Abstract: | The nonlinear free vibration problem of flexible shallow conic shells under uniformly static loads is studied. By introducing Green's function, the dynamic compatible equations and corresponding boundary conditions are transformed into equivalent ones. The equations are solved by using the perturbating variation method, so the second\|order approximate characteristic relation between nonlinear natural frequency and amplitude is obtained. |
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| Keywords: | shallow conic shell static loads nonlinear vibration intergral equation perturbating variation method |
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