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Cited by 70 publications
(58 citation statements)
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“…Time-domain deconvolution is one of the most widely used methods for structural dynamic force reconstruction [28]. By assuming zero initial conditions, the structural response ( ) can be expressed as a convolution integral of an external dynamic force ( ) and the corresponding impulse response function ℎ( − ) [20]:…”
Section: Time-domain Deconvolutionmentioning
confidence: 99%
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“…Time-domain deconvolution is one of the most widely used methods for structural dynamic force reconstruction [28]. By assuming zero initial conditions, the structural response ( ) can be expressed as a convolution integral of an external dynamic force ( ) and the corresponding impulse response function ℎ( − ) [20]:…”
Section: Time-domain Deconvolutionmentioning
confidence: 99%
“…However, a very small size would result in too many undetermined coefficients, which not only increase the computation cost but also tend to make the inverse problem more ill-conditioned. In view of this, Liu et al [20] introduced the concept of "shape function": the time history of a dynamic force was discretized into local time units and the corresponding local force was approximated by shape functions. Then, the whole response matrix was formulated by assembling the responses induced by the loads corresponding to different shape functions in all time units.…”
Section: Time-domain Deconvolutionmentioning
confidence: 99%
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“…Mao et al [10] adopted the precise time-step integration method of Markov parameters to construct an exact force identification model and solve the inverse identification problem. Liu et al [11] developed a new inverse method to identify dynamic loads based on the shape function method of moving least square fitting. Compared with frequency domain methods, time domain methods can deal with various types of load identification problems and the identified results are more accurate, so these methods have been researched and used widely in practical engineering.…”
Section: Introductionmentioning
confidence: 99%