NEWMARK Method for Computing Structural Dynamic Response

The NEWMARK method for computing structural dynamic response requires consideration of the structure's initial state, external load effects, and damping characteristics. During implementation, appropriate computational approaches and parameter settings are determined through analysis of the structural model and characteristic parameters. The algorithm typically involves time-step integration with Newmark-beta parameters (γ and β) controlling numerical stability and accuracy. Key implementation steps include: initializing displacement and velocity vectors, updating effective stiffness matrices, and solving equilibrium equations iteratively at each time step. Validation procedures should incorporate checks for energy conservation and convergence criteria. For reliable results, the method requires comprehensive consideration of structural factors including mass distribution, stiffness properties, and damping ratios. Code implementation should feature dynamic time-step adjustment and result verification modules to ensure computational accuracy and reliability.