Three-Layer Degraded Tri-Linear Resilience Model Elastoplastic Program

This documentation presents the program code from Chapter 8 of "Application of MATLAB Language in Seismic Engineering" by Xu Zhaodong. The chapter focuses on implementing seismic engineering simulations using MATLAB programming language, which is crucial for public safety research and structural design optimization. The code implements a three-layer degraded tri-linear resilience model that simulates elastoplastic behavior of structures under seismic loads. Key algorithmic components include: - Degradation modeling for structural components under cyclic loading - Tri-linear backbone curve implementation for resilience characterization - Hysteresis rules for energy dissipation calculation - State determination algorithms for plastic deformation analysis The MATLAB implementation utilizes matrix operations and iterative solvers to analyze structural responses during earthquakes. Engineers can leverage this code to simulate building behavior under seismic events, enabling better understanding of structural performance and facilitating the design of earthquake-resistant structures. The program includes functions for parameter initialization, load-path calculation, and result visualization, providing a comprehensive toolkit for seismic resilience analysis. This practical implementation demonstrates how MATLAB's computational capabilities can be applied to complex engineering problems, offering insights into structural dynamics and damage progression during seismic activities.