An Integral Equation Approach for the Generation of Seismic Power Spectral Density Functions

An integral equation approach is presented for the generation of seismic power spectral density functions from specified response spectra. First, the problem of generating the response spectrum consistent power spectral density function is formulated as an integral equation with an inequality constraint, and then the equation is solved by collocation technique. An example problem is solved and the convergence of the solution is studied. The convergence study indicates that even with only about a hundred collocation points, extremely good accuracy can be achieved.