Random vibration of pretensioned rectangular membrane structures under heavy rainfall excitation
| Autor: | Changjiang Liu, Minsheng Guan, Zhichao Lai, Juntao Guo, Dong Li, Xiaoqiang Yang |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Mechanical Engineering Mathematical analysis 020101 civil engineering Probability density function 02 engineering and technology Building and Construction Standard deviation Displacement (vector) 0201 civil engineering Nonlinear system 020303 mechanical engineering & transports Amplitude 0203 mechanical engineering Fokker–Planck equation Random vibration Intensity (heat transfer) Civil and Structural Engineering |
| Zdroj: | Thin-Walled Structures. 164:107856 |
| ISSN: | 0263-8231 |
| DOI: | 10.1016/j.tws.2021.107856 |
| Popis: | This paper analytically and experimentally investigates the random vibration problem of pretensioned rectangular membrane structures under heavy rainfall. An analytical model is firstly proposed. In this model, the heavy rainfall is modeled as a series of discretized pulse load whose amplitude follows the non-Gaussian distribution; then, the nonlinear governing equation and corresponding Fokker Planck Kolmogorov (FPK) equation of membrane structures are derived and solved by the perturbation method, considering both the geometrical nonlinearity of structure and the non-Gaussian type of load; consequently, the analytical solutions of the probability density function (PDF), mean and standard deviation of displacement response can be obtained. An artificial heavy rainfall experimental system is then developed. This system is used to (i) verify the analytical model and (ii) evaluate the effects of rainfall intensity, pretension level, and material properties. The results show that the displacement follows the significant non-Gaussian distribution and proves strong nonlinear characteristics with increasing rainfall intensity and pretension. The proposed analytical model can guide engineers to design membrane structures from the perspective of probability. |
| Databáze: | OpenAIRE |
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