本文選題：多孔介質(zhì)理論　切入點(diǎn)：隨機(jī)振動　出處：《振動與沖擊》2017年10期

【摘要】：在不可壓多孔彈性介質(zhì)理論和隨機(jī)振動理論的基礎(chǔ)上,以Kirchhoff假定和小變形為前提,根據(jù)飽和不可壓多孔板彎曲的數(shù)學(xué)模型,針對孔隙流體沿面內(nèi)擴(kuò)散的情形,建立了含液飽和多孔彈性板在集中荷載作用下橫向彎曲的隨機(jī)振動方程。針對四邊簡支矩形板,對板內(nèi)位移響應(yīng)和截面固相彎矩響應(yīng)進(jìn)行了分析,分別得到了輸入集中荷載為平穩(wěn)隨機(jī)過程時(shí)簡支板的位移響應(yīng)和彎矩響應(yīng)的功率譜密度函數(shù)和方差等數(shù)字特征。作為數(shù)值算例,考慮一理想白噪聲平穩(wěn)隨機(jī)集中荷載作用下的簡支飽和多孔板,對其位移響應(yīng)和界面固相彎矩的功率譜密度函數(shù)進(jìn)行了分析,并討論了流-固耦合項(xiàng)對板位移以及彎矩的影響規(guī)律。結(jié)果表明,通過調(diào)整孔隙中流體的滲透系數(shù)可以達(dá)到控制板隨機(jī)振動的目的。
[Abstract]:Based on the theory of incompressible porous elastic medium and random vibration theory, based on the Kirchhoff assumption and small deformation, according to the mathematical model of saturated incompressible porous plate bending, the in-plane diffusion of pore fluid is studied. The random vibration equation of transverse bending of porous elastic plates with liquid saturation under concentrated load is established. The displacement response and the solid moment response of the plates are analyzed for simply supported rectangular plates with four sides. The power spectral density function and variance of the displacement response and moment response of simply supported plate under stationary stochastic process with input concentrated load are obtained, respectively. Considering an ideal white noise stationary random concentrated load, the displacement response and the power spectral density function of the interface solid moment of a simply supported saturated perforated plate are analyzed. The effect of fluid-solid coupling term on plate displacement and bending moment is discussed. The results show that the random vibration of plate can be controlled by adjusting the permeability coefficient of the fluid in the pore.
【作者單位】： 蘭州理工大學(xué)土木工程學(xué)院;西部土木工程防災(zāi)減災(zāi)教育部工程研究中心;
【基金】：國家自然科學(xué)基金(11162008;51368038) 甘肅省環(huán)境保護(hù)廳(GSEP-2014-23) 甘肅省教育廳研究生導(dǎo)師基金(1103-07)
【分類號】：TB383.4

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