Dynamics of Structures

Chopra, A. K. (2017). Dynamics of Structures: Theory and Applications to Earthquake Engineering. Pearson.

Type

Book

Intellectual base

Textbook

Year

2017

Link

https://www.pearson.com/en-us/subject-catalog/p/dynamics-of-structures/P200000003132

Cited from

mathematics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Convolution
  • The building is modeled as a linear time-invariant system whose complete dynamic behavior is captured by a single kernel — its impulse response \(h(t)\), the displacement the structure exhibits after a unit-impulse jolt, encoding its natural frequencies and damping.

    This sourceA structure's response to ground motion is the convolution (Duhamel integral) of ground acceleration with the structure's impulse response, which encodes its natural frequencies and damping.

Domain-specific

• Duhamel's Integral
  • It is the engineering realization of causal convolution in which the kernel is the system's impulse response and the input is a dynamic excitation.

    This sourceStandard structural-dynamics derivation of response to general dynamic loading by superposition.

• Seismic Analysis
  • It transforms a site hazard representation and a structural model into demands such as base shear, member forces, story drift, acceleration, deformation, instability, and damage-sensitive response for design or assessment.

Verification

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