Dynamics of Structures¶
Chopra, A. K. (2017). Dynamics of Structures: Theory and Applications to Earthquake Engineering. Pearson.
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.
- 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.
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.
- 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.
- Seismic Analysis
Verification¶
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Registry ID ref:1c2caed40a5e · see in the full table