Abstract
The pseudoexcitation method (PEM) can improve efficiency of random vibration analysis. However, for large-sized structures with wide frequency range of response, the workload of calculation is heavy if conventional integration methods, such as trapezoidal integration, are used to combine with the PEM to calculate structural response. In such case, self-adaptive technology is induced to combine with the PEM to form an efficient method for solving random vibration. During calculation, this method can realize the adaptability of random excitation to actual structural response, identify automatically critical frequency intervals of random excitation, and process intelligently the identified critical frequency intervals and noncritical frequency intervals. Based on the identified frequency intervals, Gauss integration is carried out to obtain response results with random characteristics. The computational efficiency and accuracy of PEM-SGI are verified by wind-induced performance of the slender bridge tower. Finally, the influence of damping ratio of the bridge structure and train marshalling on vehicle-bridge coupled system is investigated to further verify the application of the proposed method. Results show that the efficiency of solving random vibration can be improved by the present method.
Highlights
Random vibration, as one of the most important topics in the field of structure engineering, has experienced abundant research progress [1]. e huge computational workload, often becomes bottleneck which limits its application in practical engineering
Compared with trapezoidal numerical integration, Gauss numerical integration owing advantages of fewer integral numbers needed and higher integration accuracy is widely applied into numerical calculation for various engineering fields [30, 31]. e self-adaptive Gauss integration is introduced into the pseudoexcitation method, the basic idea of which is to find reasonable integral subintervals of frequency intervals by self-adaptive iteration and to solve each subinterval by Gauss integration
By self-adaptive iteration, the integral interval is subdivided into several reasonable integral subintervals and each integral subinterval is separately integrated by the Gauss numerical method, which greatly improves the efficiency of integration calculation. e numerical examples show that the self-adaptive Gauss integration technique can significantly reduce computational times and further improve computational efficiency of the pseudoexcitation method with the same requirements for accuracy
Summary
As one of the most important topics in the field of structure engineering, has experienced abundant research progress [1]. e huge computational workload, often becomes bottleneck which limits its application in practical engineering. Soyluk applied spectral analysis approach and two response methods to investigate the spatial variability effects of ground motion of the dynamic behavior of long-span bridges [6]. Le and Caracoglia applied the waveletGalerkin method to investigate the nonlinear stochastic dynamic system, and a slender building is selected as an example to study the coupled response by transient wind load [10]. Yu et al [21] proposed a new random vibration theory to study the stochastic response of the coupled train-bridge systems. As a large number of discrete frequency points should be extracted to calculate the response power spectrum, numerical integration techniques, such as trapezoidal integration, are used to obtain the variance of structural response. Trapezoidal integration can be used for numerical solution of formula (8)
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