Dynamics of Structures: Theory and applications to by Anil K. Chopra PDF

By Anil K. Chopra

ISBN-10: 0132858037

ISBN-13: 9780132858038

Designed for senior-level and graduate classes in Dynamics of constructions and Earthquake Engineering.

Dynamics of constructions includes many issues encompassing the idea of structural dynamics and the appliance of this thought concerning earthquake research, reaction, and layout of buildings. No past wisdom of structural dynamics is believed and the way of presentation is satisfactorily certain and built-in, to make the ebook compatible for self-study through scholars engineers.

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Additional resources for Dynamics of Structures: Theory and applications to earthquake engineering

Sample text

39 lb/in. As mentioned earlier, the gravity forces can be omitted from the formulation of the governing equation for the system of Fig. 4 provided that the displacement u is measured from the static equilibrium position. 6). 22 Equations of Motion, Problem Statement, and Solution Methods Chap. 5 Derive the equation governing the free motion of a simple pendulum (Fig. 5a), which consists of a point mass m suspended by a light string of length L. 5 (a) Simple pendulum; (b) free-body diagram. 5a shows the displaced position of the pendulum defined by the angle θ measured from the vertical position, and Fig.

Ventura defined the presentation style for Chapter 14. This book has been influenced by my own research experience in collaboration with my students. S. Army Corps of Engineers, and California Strong Motion Instrumentation Program. This book and its revised editions were prepared during sabbatical leaves, a privilege for which I am grateful to the University of California at Berkeley. Anil K. Chopra PART I Single-Degree-of-Freedom Systems 1 1 Equations of Motion, Problem Statement, and Solution Methods PREVIEW In this opening chapter, the structural dynamics problem is formulated for simple structures that can be idealized as a system with a lumped mass and a massless supporting structure.

6 Mass–Spring–Damper System 21 where f S = ke u¯ (b) and the effective stiffness ke of the system remains to be determined. The equation of motion is m u¨¯ + ke u¯ = w + p(t) (c) The displacement u¯ can be expressed as u¯ = δst + u (d) where δst is the static displacement due to weight w and u is measured from the position of static equilibrium. Substituting Eq. (d) in Eq. (a) and noting that (1) u¨¯ = u¨ because δst does not vary with time, and (2) ke δst = w gives m u¨ + ke u = p(t) (e) Observe that this is the same as Eq.

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