| 不可移简支梁在横向激振力作用下的9倍超谐波共振分析 |
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| 引用本文： | 黄永玉,赵伟东. 不可移简支梁在横向激振力作用下的9倍超谐波共振分析[J]. 青海大学学报, 2013, 0(6): 29-32 |
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| 作者姓名： | 黄永玉 赵伟东 |
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| 作者单位： | [1]青海大学机械工程学院,青海西宁810016 [2]青海大学土木工程学院,青海西宁810016 |
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| 摘 要： | 基于Hamilton原理,得到了梁在横向简谐激励作用的非线性强迫振动控制方程组.运用Kantorovich平均法将非线性偏微分方程转化成一组常微分方程,考虑不可移简支边界条件,采用打靶法得到了9倍超谐波共振的数值结果.详细考察了不同参数对超谐波共振响应的影响.
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| 关 键 词： | 梁 非线性强迫振动 9倍超谐波共振 打靶法 |
Analysis of a 9-fold superharmonic resonance of immovable simply supported beam subjected to transverse excitation load |
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| HUANG Yongyu,ZHAO Weidong. Analysis of a 9-fold superharmonic resonance of immovable simply supported beam subjected to transverse excitation load[J]. Journal of Qinghai University(Natural Science), 2013, 0(6): 29-32 |
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| Authors: | HUANG Yongyu ZHAO Weidong |
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| Affiliation: | 1. School of Mechanical Engineering , Qinghai University, Xining 810016, China ; 2. School of Civil Engineering , Qinghai University, Xining 810016, China) |
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| Abstract: | Based on the Hamilton principal, the control equations of the nonlinear forced vibration of a beam subjected to transverse excitation load were obtained and the nonlinear partial differential equations were converted into a set of ordinary ones by using Kantorovich averaging procedure. Considering immovable simply supported boundary conditions, the numerical results of the 9 - fold superharmonic resonance were obtained by employing the shooting method, the influence of different parameters on the 9 -fold superharmonic resonance was examined in details. |
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| Keywords: | beam nonlinear forced vibration 9 - fold superharmonic resonance shooting method |
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