Chapter 8 - Dynamic response of complex systems

Abstract

Computation of responses of large complex systems that require multidisciplinary approaches is rigorously covered in this chapter. This chapter addresses when and how to include gravity effects, the behavior of structures vibrating in fluids, the response of systems to families of forcing functions, and to forcing functions solely described by statistical properties. Equations of motion, including initial conditions required to account for nonzero force values at the start of the solution, are developed for systems such as launch vehicles. Atmospheric-flight equations of motion, including aeroelasticity, are rigorously derived. These are then used to derive equations of motion required to compute atmospheric turbulence/gust responses. In addition, the equations for the buffet response of complex systems, both frequency and time domain, developed in Volume I, are thoroughly covered. The equations for the static-aeroelastic response of system in atmospheric flight are also derived and solved for both trimmed and nontrimmed flight conditions. In each load analysis covered in this chapter, the statistical treatment of response values is consistent with the material presented in Chapter 7, Probability and Statistics. The last section addresses computing the response of structures to earthquake ground motion. This chapter concludes with references and solved problems that reinforce the material discussed in this chapter.