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梁振动问题的MOL数值方法
MOL numerical method for solving the vibration problems of beam
【摘要】 应用了直线法求解梁振动问题.利用直线法对空间域离散,将问题转化为常微分方程组,然后用四阶龙格-库塔法对其求解,得到了一个求解梁振动问题的有效数值方法.数值算例说明该方法具有较高的精度.
【Abstract】 In this paper,method of lines is used to solve the vibration problems of beam.The spatial domain is discreted by method of lines,the problem is transformed into ordinary differential equations,and then the fourth-order Runge-kutta method is used to solve the equations,an efficient numerical method is obtained to deal with the vibration problems of beam.The numerical examples show that the method is better.
【关键词】 梁振动问题;
直线法;
龙格-库塔法;
【Key words】 vibration problems of beam; method of lines; Runge-kutta method;
【Key words】 vibration problems of beam; method of lines; Runge-kutta method;
【基金】 陕西省教育厅科研专项计划研究项目(05JK239);西安建筑科技大学基础研究基金项目(03BR02)
- 【文献出处】 陕西科技大学学报(自然科学版) ,Journal of Shaanxi University of Science & Technology(Natural Science Edition) , 编辑部邮箱 ,2013年06期
- 【分类号】O241.8;O322
- 【被引频次】4
- 【下载频次】76