非线性振动的谐波最优化方法  

Harmonic Optimization for Nonlinear Vibration

作　　者：詹胜[1] 

机构地区：[1]中山大学应用力学与工程系

出　　处：《中山大学学报（自然科学版）》1993年第1期30-34,共5页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：中山大学科研基金

摘　　要：提出用谐波最优化的方法(简称HO 方法)求解非线性振动问题,应用于水下物体振动的计算,给出了计算和实验结果,并应用于杜芬方程的求解.该法具有推导简单、计算速度快等优点,当谐波项取得足够多,控制收敛常数足够小时,所求的解趋于精确解.Harmonic optimization (HO) for nonlinear vibration is presented and isapplied to submerged cylinder vibration under the action of wave.The results ofcalculation and experiment are also given.More than that,it is employed toDuffing equation.HO method has some advantages such as simply derivation ofequation and obtaining results quickly.The accurate solutions will be attained ifharmonic terms are enough and convergence constant is small enough.

关 键 词：谐波 非线性振动 最佳化 

分 类 号：O322[理学—一般力学与力学基础]