Implicit Dynamic Solver 2

Implicit dynamic solver using non-linear Newmark's method


Updated 19 May 2022

View License

Implicit dynamic solver using non-linear Newmark's method with two examples file.
function Result=Newmark_Nonlinear(Elements,Material,Support,M,C,f,U_s,dU_s,ddU_s,fs,delta)
Elements: a structure containing Elements{i}.DOFs, Elements{i}.Material, and Elements{i}.Material_State
where Elements{i}.DOFs=[j k] means element i connect DOF j with k
Elements{i}.Material=m assign material m to element i
Elements{i}.Material_State.e initial material strain
Elements{i}.Material_State.s initial material stress
Elements{i}.Material_State.k initial material hardening
Material: a structure containing material properties for bilinear springs
where Material{m}.E Stiffness
Material{m}.f_y Stress beyond which the stiffness decreases
Material{m}.Ep Reduced stiffness
Support: a vector of support (Fixed) DOFs of size (1,nSupport)
M: mass matrix (n*n)
C: damping matrix (n*n)
f: external force matrix(n,N)
U_s: support displacement matrix (nSupport,N)
dU_s: support velocity matrix (nSupport,N)
ddU_s: support acceleration matrix (nSupport,N)
fs: sampling frequency
delta: convergance criterion for residual force
where n is the number of DOFs, and N is the length of data points of dynamic force
Result: is a structure consist of
Result.Displacement: Displacement (n,N)
Result.Velocity: Velocity (n,N)
Result.Acceleration: Acceleration (n,N)
Result.F_s: Support Force (nSupport,N)
Chopra, Anil K. "Dynamics of Structures. Theory and Applications to." Earthquake Engineering (2017).

Cite As

Ayad Al-Rumaithi (2023). Implicit Dynamic Solver 2 (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2022a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Tags Add Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Published Release Notes

corrected displacement control equations