Dynamics and Controls Library

The ETBX Dynamics And Controls library contains modules that focus on the determination of dynamic system properties, control system properties, and system response. Click on a module name below to view the module's documentation.

Spring-Mass System - The Spring-Mass System module calculates the natural frequencies, mode shapes, and steady-state harmonic response of a generic system of discrete springs, dampers, and masses.

Arbitrary System Dynamic Response - The Arbitrary System Dynamic Response module implements a fourth-order Runge-Kutta numerical integration algorithm to solve a set of first-order differential equations expressed in a standard state-space convention.

Linear System Time Response - The Linear System Time Response module uses classical closed-form equations to calculate the time response of linear dynamic systems to user-specified initial conditions and forcing functions.

Bode Plot - The Bode Plot module creates a bode plot for dynamic systems with transfer functions that contain polynomials in both the numerator and denominator.

Uniform Beam Frequencies - The Uniform Beam Frequencies module uses closed-form equations to calculate the natural frequencies and mode shapes of a uniform beam with various boundary conditions.

Dynamic System Animation - The Dynamic System Animation module creates an animation of an arbitrary dynamic system.

(Two additional modules are useful in dynamic systems studies: In the Numeric Analysis library the Polynomial Roots Solver can be used to determine the roots of the characteristic equation of a constant coefficient dynamic system, and in the solid mechanics library the General Beam Analysis  module uses finite element methods to calculate the natural frequencies and mode shapes of a of a general beam with multiple cross sections and spans.)