PlaneFrame
swMATH ID:  13345 
Software Authors:  Picón, Rafael 
Description:  Analytical solutions of plane structures using Mathematica. We investigate the possibilities of using the program Mathematica to obtain analytical solutions for plane structures. Two typical applications are developed: plane frames with only bending deformations, and plane trusses. In an attempt to keep the number of unknowns as low as possible, we use indirect stiffness method and force method to formulate the first and the second problem, respectively. All the formulations are developed by making use of kernel and generalized inverse matrices, which are also used to characterize the solution of overdetermined systems of equations. Two programs (PlaneFrame and PlaneTruss) were written to solve the first and the second problem, and the listings of codes are given in the paper. 
Homepage:  http://onlinelibrary.wiley.com/doi/10.1002/10970207%2820010210%2950:4%3C969::AIDNME69%3E3.0.CO;21/pdf 
Dependencies:  Mathematica 
Keywords:  plane frame; plane truss; listing of codes; program Mathematica; analytical solution; plane frames; plane trusses; indirect stiffness method; force method; kernel; generalized inverse matrices; overdetermined systems of equations 
Related Software:  PlaneTruss; Mathematica 
Cited in:  1 Publication 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Analytical solutions of plane structures using Mathematica. Zbl 0981.74022 Picón, Rafael 
2001

Cited by 1 Author
1  Picón, Rafael 
Cited in 1 Serial
1  International Journal for Numerical Methods in Engineering 
Cited in 2 Fields
1  Computer science (68XX) 
1  Mechanics of deformable solids (74XX) 