非线性动力系统极限环Runge-Kutta法求解的1个注记
发布时间：2018-12-11 21:50
【摘要】：采用Matlab软件研究了Runge-Kutta直接积分法在计算非线性动力系统极限时存在的一个问题:单周期解误判为双周期或三周期.直接调用Matlab自带程序ode45,并设定算法的相对误差.以二元机翼强非线性颤振系统为例,研究发现,采用程序默认的相对误差来控制计算精度时,单周期极限环解出现了双周期和三周期;若修改相对误差的设定值则可提高控制精度,进而得到正确的解.因此,在用Runge-Kutta法自带ode45程序计算非线性动力系统极限环时,应特别注意对计算精度的设置.
[Abstract]:A problem of Runge-Kutta direct integration method in calculating the limit of nonlinear dynamic system is studied by using Matlab software: the single period solution is misjudged as two or three periods. Call the Matlab native program ode45, directly and set the relative error of the algorithm. Taking the strong nonlinear flutter system of a binary wing as an example, it is found that when the calculation accuracy is controlled by the default relative error of the program, the two-period and three-period solutions of the single-period limit cycle appear. If the set value of relative error is modified, the control accuracy can be improved and the correct solution can be obtained. Therefore, special attention should be paid to the setting of calculation precision when calculating the limit cycle of nonlinear dynamic system by using Runge-Kutta method with ode45 program.
【作者单位】： 广州大学土木工程学院;
【基金】：广东省科技计划项目(2013B090500123)
【分类号】：O322;O241.8
本文编号：2373281
[Abstract]:A problem of Runge-Kutta direct integration method in calculating the limit of nonlinear dynamic system is studied by using Matlab software: the single period solution is misjudged as two or three periods. Call the Matlab native program ode45, directly and set the relative error of the algorithm. Taking the strong nonlinear flutter system of a binary wing as an example, it is found that when the calculation accuracy is controlled by the default relative error of the program, the two-period and three-period solutions of the single-period limit cycle appear. If the set value of relative error is modified, the control accuracy can be improved and the correct solution can be obtained. Therefore, special attention should be paid to the setting of calculation precision when calculating the limit cycle of nonlinear dynamic system by using Runge-Kutta method with ode45 program.
【作者单位】： 广州大学土木工程学院;
【基金】：广东省科技计划项目(2013B090500123)
【分类号】：O322;O241.8
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