program_4 - CE 335 Programming Assignment 4 Differential...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
CE 335 Programming Assignment 4 Differential Equations: Seismic response of buildings Horizontal acceleration of the ground during an earthquake causes shear stress on building members as the building tries to keep up with the ground motion. If the acceleration is too large, the building can fail and collapse. The response of the frames of multistory buildings to seismic forces can be roughly modeled as a system of differential equations describing coupled linear oscillators, one for each floor. For a building with n floors, this is a system of n second-order differential equations (which, as we learned, can be written as a system of 2 n first-order differential equations) in the n unknown displacements x ( t ) Mx' ' + Cx' + Kx = m a (1) where x is the n x 1 vector of the horizontal displacement of each floor, M is an n x n matrix with diagonal elements equal to the mass of each floor (and m is the corresponding n x 1 vector of the diagonal elements), C is an n x n matrix with elements representing the damping rate of vibrations in
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

program_4 - CE 335 Programming Assignment 4 Differential...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online