摘要
利用Fourier变换将无限长弦和无限长梁的横振动问题,即一维无界区域上线性非齐次波动方程化为象函数的常微分方程,再利用二阶线性非齐次常微分方程定解问题的相关结论及Fourier变换的有关性质,给出一维线性非齐次波动方程一个新的求解方法。
This paper deals with the solutions of one-dimensional linear nonhomogeneous wave equations on unbounded domains,which is infinite string and infinite beams transverse vibration problems by Fourier transformation method.The wave equations on unbounded domains are changed to some ordinary differential equations.According to the expression of the ordinary differential equations solutions,the solutions of the wave equations can be found conveniently.Two examples are given in this paper.
出处
《河南科技大学学报（自然科学版）》
CAS
北大核心
2010年第2期86-89,共4页
Journal of Henan University of Science And Technology:Natural Science
基金
国家自然科学基金项目(10871131)
河南科技大学博士启动基金项目(09001263)
