湖南"十一五"重点建设学科项目经费资助
结合Liouville-Green变换,改进了求解变系数二阶线性齐次方程的渐近法.并采用改进后的渐近法研究了负载钢丝绳的固有振动问题,推导出了其固有振动的近似频率特征方程.实例计算表明,改进后的渐近法不但比Bessel函数法计算简便,而且计算精度也非常高.
With Liouville-Green transform, the asymptotic method to solve second homogeneous linearity equation was improved. The improved asymptotic method was used to study the natural vibration of cable bearing weight, and the formula for its frequency was deduced. The example suggested that the improved asymptotic method was exact and simpler than Bessel method.
吴晓,杨立军.采用渐近法研究负载钢丝绳的固有振动[J].动力学与控制学报,2007,5(1):50~53; Wu Xiao, Yang Lijun. Study on the natural vibration of cable bearing weight with asymptotic method[J]. Journal of Dynamics and Control,2007,5(1):50-53.
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