# BeamSolver Class Reference

Simple finite difference solver to solve the Euler Bernoulli beam equation.

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`#include <BeamSolver.h>`

Inheritance diagram for BeamSolver:

List of all members.

## Detailed Description

Simple finite difference solver to solve the Euler Bernoulli beam equation.

2 4 d w d w rho*h --- + E I --- = -p(x,t) 2 4 dt dx

where I is the moment of inertia divided by the beam width and p(x,t) the pressure loading. Typical boundary conditions are supported. The equation is transformed into a first-order system and temporally discretized with Crank-Nicholson. A straightforward LR decomposition is used for direct solution of the set of linear equations.

**Author:**- Ralf Deiterding

**Version:**- 1.0

**Date:**- Dec-2006

The documentation for this class was generated from the following file:

Generated on Fri Aug 24 13:01:04 2007 for AMROC's Beam solver - by
1.4.7