NONLINEAR VIBRATION OF THIN SHALLOW CONIC SHELLS UNDER COMBINED ACTION OF PERIPHERAL MOMENT AND TRANSVERSE LOADS

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (12): 1381-1389.

NONLINEAR VIBRATION OF THIN SHALLOW CONIC SHELLS UNDER COMBINED ACTION OF PERIPHERAL MOMENT AND TRANSVERSE LOADS

赵永刚¹, 王新志¹, 叶开沅²

1. School of Sciences, Lanzhou University of Technology, Lanzhou 730050, P.R.China;
2. Physical College, Lanzhou University, Lanzhou 730000, P.R.China

收稿日期:2002-08-25 修回日期:2003-06-27 出版日期:2003-12-18 发布日期:2003-12-18
通讯作者: YEH Kai-yuan
基金资助:
the Natural Science Foundation of Gansu Province of China(ZS022-A25-O22)

NONLINEAR VIBRATION OF THIN SHALLOW CONIC SHELLS UNDER COMBINED ACTION OF PERIPHERAL MOMENT AND TRANSVERSE LOADS

ZHAO Yong-gang¹, WANG Xin-zhi¹, YEH Kai-yuan ²

1. School of Sciences, Lanzhou University of Technology, Lanzhou 730050, P.R.China;
2. Physical College, Lanzhou University, Lanzhou 730000, P.R.China

Received:2002-08-25 Revised:2003-06-27 Online:2003-12-18 Published:2003-12-18
Supported by:
the Natural Science Foundation of Gansu Province of China(ZS022-A25-O22)

摘要/Abstract

摘要： Based on the variation and harmonic equations and by taking the maximum amplitude of the shell center as the perturbation parameter, nonlinear vibration of thin shallow conic shells under combined action of peripheral moment and transverse loads was solved. The linear natural frequency can be got by the first-order approximation and the more accurate nonlinear frequency is got by the second-order approximation under the action of static loads. Meanwhile the third-order approximate analytic expression is given for describing the nonlinear relation between nature frequency and peripheral moment,transverse loads, amplitude, base angle under the small deformation. Within some range, the complex and regularity of the nonlinear relation can be directly observed from the numeric results.

Abstract: Based on the variation and harmonic equations and by taking the maximum amplitude of the shell center as the perturbation parameter, nonlinear vibration of thin shallow conic shells under combined action of peripheral moment and transverse loads was solved. The linear natural frequency can be got by the first-order approximation and the more accurate nonlinear frequency is got by the second-order approximation under the action of static loads. Meanwhile the third-order approximate analytic expression is given for describing the nonlinear relation between nature frequency and peripheral moment,transverse loads, amplitude, base angle under the small deformation. Within some range, the complex and regularity of the nonlinear relation can be directly observed from the numeric results.

中图分类号:

O405

赵永刚;王新志;叶开沅. NONLINEAR VIBRATION OF THIN SHALLOW CONIC SHELLS UNDER COMBINED ACTION OF PERIPHERAL MOMENT AND TRANSVERSE LOADS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(12): 1381-1389.

ZHAO Yong-gang;WANG Xin-zhi;YEH Kai-yuan . NONLINEAR VIBRATION OF THIN SHALLOW CONIC SHELLS UNDER COMBINED ACTION OF PERIPHERAL MOMENT AND TRANSVERSE LOADS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(12): 1381-1389.

参考文献

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NONLINEAR VIBRATION OF THIN SHALLOW CONIC SHELLS UNDER COMBINED ACTION OF PERIPHERAL MOMENT AND TRANSVERSE LOADS

NONLINEAR VIBRATION OF THIN SHALLOW CONIC SHELLS UNDER COMBINED ACTION OF PERIPHERAL MOMENT AND TRANSVERSE LOADS

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