NEHRP Clearinghouse
- Title
- An Analytic Method for Strong Motion Studies in Layered Media.
- File
- PB301116.pdf
- Author(s)
- Engin, H.; Askar, A.; Cakmak, A. S.
- Source
- National Science Foundation, Washington, DC. Engineering and Applied Science., June 30, 1979, 66 p.
- Identifying Number(s)
- 79/SM/4
- Abstract
- An analytic method is presented for calculating strong motion spectra and the response to arbitrary input in layered media. The method is based on the removal of secular terms at resonance of the equations with polynomial linearity. Through a convenient parametrization of the frequency, the procedure allows one to deal with linear equations and permits the extension of the method to multilayer systems by use of transfer matrices. Competititve analytical methods and those of the present authors lead to nonlinear algebraic equations for the amplitudes of oscillation and are untractable in multilayer systems. This method is applied to wave amplification studies in geotechnical engineering. The scheme is based on a method appropriate for non-linear phenomena, and the computational task remains at the order of that of the linear analyses. The report includes the computer program, references, and figures.
- Keywords
- ; Equations of motion; Seismic waves; Vibrational spectra; Dynamic response; Computer programs; Linear systems; Nonlinear systems; Soil mechanics; Earthquakes