In this page are collected some use examples of the software tools listed at
this web page .

### Dynamics and Vibration

•  Dynamic response of one dof spring-mass-damper system. The differential equation is of the following type
$$m \ddot{x}+c \dot{x}+k x = F \sin \Omega t$$ . Program written in Python. Download
•  Shock Response Spectrum assuming half sine base acceleration. Program written in Python. Download.Author:E. Pennestri’
•  Simple modal analysis. Decouple linear equations Program written in Python. Download.Author:E. Pennestri’
•  Dynamic response analysis of two masses connected by springs.
The differential equations have the following form:
$$\begin{array}{c} m_2 \ddot{x}_2 + k_2 \left( x_2 – x_1 \right)=F_2 \sin \Omega t \\ m_1 \ddot{x}_1 – k_2 \left( x_2 – x_1 \right) + k_1 x_1 =0 \end{array}$$