Structural Dynamics: Total response of a damped system

版本 1.0.0 (2.0 KB) 作者: Benjamin Bondsman
Dynamic Analysis: Total response of a damped system
494.0 次下载
更新时间 2019/12/21

查看许可证

This function determines total response of a damped system
Input:
Mass, Damping coefficient, Stiffness, Excitation force

Output:
The file calculates the total response of a damped system including the followings:
-Natural circular frequency
-Critical damping coefficient
-Relative critical viscous damping
-Damped circular frequency
-Total solution as sum of homogenous and particular solution
-Plotting displacement as a function of time

How to use the function:
- Step 1: Derive the equation of motion for the whole system in order to obtain total mass, damping, stiffness and excitation values.
- Step 2: Determine the particular solution of the system.
- Step 3: Determine the coefficients A & B in the homogenous solution according to the initial conditions, so that when (t=0) for u(t), coefficient A is obtained. Derive u(t) and set (t=0) and with help of A, the coefficient B could be obtained.
- Step 4: Determine the total solution as a sum of homogenous solution and particular solution.
- Step 5: Plot the result.

Extra information: Try to experiment on increasing/ decreasing the value of the damping coefficient in order to see the decaying of the vibration.

If the system is SDOF and free vibration wants to be plotted, ignore the exciting force & particular solution.

引用格式

Benjamin Bondsman (2024). Structural Dynamics: Total response of a damped system (https://www.mathworks.com/matlabcentral/fileexchange/73751-structural-dynamics-total-response-of-a-damped-system), MATLAB Central File Exchange. 检索来源 .

MATLAB 版本兼容性
创建方式 R2019b
兼容任何版本
平台兼容性
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
版本 已发布 发行说明
1.0.0