基于杆桁架单元的杆梁问题有限元求解器matlab代码.zip

# FEM Solver for Bar and Beam Problems using Bar/Truss Elements ## Project Overview This project implements a Finite Element Method (FEM) solver in MATLAB for analyzing bar and beam problems using bar/truss elements. The solver uses the Gauss points restriction method and handles different types of boundary conditions (Dirichlet, Neumann, and Spring). ## Features - Supports P order of interpolation function for element with a limit of P = 6 due to Gauss points restriction. - Allows for a user-defined number of elements (`e`) within the domain of interest. - Customizable domain range from `x0` to `xL`. - Interactive user input for boundary conditions and point load presence and properties. ## How to Use 1. Ensure MATLAB is installed on your system. 2. Download the `.m` file from the repository. 3. Run the script in MATLAB. 4. Follow the command window prompts to input boundary conditions at `x0` and `xL`. - Options: 1. Dirichlet 2. Neumann 3. Spring 5. Input point load information when prompted. 6. The program will automatically adjust the number of elements if a point load is not on a node. 7. Review the output for nodal displacement values and interpolation functions. ## Input Data Format - Boundary conditions are specified at `x0` and `xL`. - For Dirichlet conditions, input displacement value `u`. - For Neumann conditions, input the derivative value `AE*(du/dx)`. - For Spring conditions, input spring constant `K` and displacement `Del`. - If a point load is present, input its value and location. ## Output Data The solver outputs: - The global stiffness matrix `K_global_D_bc`. - Nodal displacement values `u_nodes`. - Interpolation functions for each element. - A table with nodal locations, displacement values, and `du/dx` values. - Plots comparing the FEM solution to the exact solution for both `u` and `u'`. ## Sample Output The MATLAB command window will display tables and plots representing the solution. These include nodal locations, displacements, and the derivative of displacement across the domain. ## Contact For questions or collaborations, please reach out to `r-suresh@outlook.com`.