反应谱(国外英文资料).doc

反应谱(国外英文资料) 1.2 elastic response spectrum In Maurice a. Biot [] first proposed the concept of elastic response spectrum, by the development of A number of scholars, the concept of response spectrum has been largely promoted, and the response spectrum has been widely used in all aspects of the earthquake engineering (such as the seismic hazard analysis and seismic design of structures, the choice of earthquake acceleration records and adjustment and performance based seismic engineering, etc.). At present, the reaction spectrum mainly includes: Fourier spectrum, elastic response spectrum, elastoplastic reaction spectrum, energy response spectrum and damage spectrum. The definition of the elastic response spectrum is described below, and the rest of the spectrum is similar to the elastic response spectrum. So-called elastic response spectrum is under a given earthquake acceleration input, the single degree of freedom system of maximum response and elastic system natural vibration characteristics (natural cycle frequency and damping ratio) or the function relationship between the. The biggest reaction can be elasticity of single degree of freedom systems: the biggest displacement relative to the ground, relative to the ground, maximum speed, maximum absolute acceleration, velocity and acceleration. Under the incentive of ground acceleration, the dynamic equation of a single degree-of-freedom system is: (1.1) The solution of the (1) can be obtained by the integral of Duhamel: (1.2) The derivative of the (1.2) is the relative velocity: (1.3) The derivative of a (1.3) with the acceleration of the ground is the absolute acceleration. (1.4) In the form (1.1) ~ (1.4), m is the mass of a single degree of freedom elastic system; C is the damping coefficient; K is the stiffness of the system; U (t) is the displacement of the system relative to the ground; The relative speed of the system; The relative acceleration of the system; For ground acceleration; Omega is the systems un