ABSTRACT
This chapter is dedicated to the analysis of structural response for non-cyclic dynamic load events. Duhamel integral formulation, to predict the elastic dynamic response of SDOF systems, is introduced in Section 11.1. This analysis technique provides very useful conclusions on the range of dynamic amplifications that a system can experience when subjected to impulse events of arbitrary duration. The concept of design response spectra, based on the envelope of peak dynamic responses of linear elastic systems to predefined single loading function, is discussed in Section 11.2. The direct integration techniques of time-domain dynamic response simulations are introduced Sections 11.3–11.6. Section 11.4 specifically focuses on the accuracy and stability aspects of implicit time integration method. Relative efficiencies of direct integration versus modal superposition methods, for linear elastic dynamic response prediction, are discussed in Sections 11.5 and 11.6. Explicit time integration method, which is more potent for nonlinear dynamic response analysis, is introduced in Section 11.7. ABAQUS-specific commands for dynamic response analysis of finite element models are reviewed in Section 11.8 followed by the presentation of practice problems in Section 11.9.
