Matrix Analysis of Structural Dynamics: Applications and Earthquake Engineering

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Uses state-of-the-art computer technology to formulate displacement method with matrix algebra. Facilitates analysis of structural dynamics and applications to earthquake engineering and UBC and IBC seismic building codes.

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Editorial Reviews

Journal of Structural Engineering
It not only educates but inspires its readers...a must-read treatise for all students and professionals.
For graduate and advanced undergraduate students in civil, mechanical, and aeronautical engineering, Cheng (civil engineering, U. of Missouri-Rolla) considers a number of related topics, among them the displacement method with matrix formulation, the theory and analysis of structural dynamics, and its application to earthquake engineering and seismic building codes. He looks at lumped mass, consistent mass, and distributed mass structural models; analyses the material properties of proportional and non-proportional damping; and studies hysteretic behavior with eight models suited to different construction material such as steel and reinforced concrete. He assumes readers to be knowledgeable in the strength of materials, fundamental static structural analysis, calculus, and linear algebra and reviews algebraic matrix formulation, ordinary and partial differential equations, vector analysis, and complex variables where necessary. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9780824703875
  • Publisher: Taylor & Francis
  • Publication date: 10/28/2000
  • Series: Civil and Environmental Engineering Series
  • Edition description: New Edition
  • Pages: 997
  • Product dimensions: 7.00 (w) x 10.10 (h) x 2.00 (d)

Table of Contents

Characteristics of free and forced vibrations of elementary systems; Eigensolution techniques and undamped response analysis of multiple-degree-of-freedom systems; Eigensolution methods and response analysis for proportional and non-proportional damping; dynamic stiffness and energy methods for distributed mass systems; dynamic stiffness method for coupling vibration, elastic media and Pdeltal effect; consistent mass method of frames and finite elements; numerical integration methods and seismic response spectra for single- and multi-components seismic input; formulation and response analysis of 3-D building systems with walls and bracings; various hysteresis models of non-linear response analysis; static and dynamic lateral-force procedures and related effects in building codes of UBC-94, UBC-97, and IBC-2000; problems; solutions. Appendices: Lagrange's equation; derivation of ground rotation; vector analysis fundamentals; transformation matrix between JCS and GCS; transformation matrix between ECS and GCS for beam column; transformation matrix and stiffness matrix; of beams column with rigid zone; computer program for Newmark method; computer program for Wilson method; computer program for CQC method; Goel steel-bracing hysteresis model and computer program; Takeda model for RC columns and beams and computer program; Cheng-Mertz model for bending coupling with shear and low-rise shear walls and computer program; Cheng-Lou axial hysteresis model for RC columns and walls and computer program.

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