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简支梁的组合谐波共振
Combination Resonance of a Simple Supported Beam
【摘要】 研究了简支梁在两个激振力作用下的组合谐波响应。建立了梁振动的Duffing方程,采用经典的L-P法对其进行求解,分析了强迫振动的组合谐波共振的成因、类型和特点。由得到的频率一振幅响应曲线,研究了激励强度、频率和阻尼对响应振幅的影响。
【Abstract】 The combination resonance of a simple supported beam under two excitation forces was studied. The Duffing equation was derived firstly, then it was solved by using classical L-P method, and the cause, style and feature of combination resonance induced by forced vibration were analyzed. Finally, various frequency-amplitude response curves are given to show the effect of the amplitude, frequency and viscosity of inspiration on response amplitude.
【基金】 国家自然科学基金资助项目(10272117);广东省自然科学基金资助项目(O11203)
- 【文献出处】 华南理工大学学报(自然科学版) ,Journal of South China University of Technology(Natural Science) , 编辑部邮箱 ,2003年S1期
- 【分类号】O327
- 【被引频次】5
- 【下载频次】188