【摘要】：為了研究瑞利阻尼模型的物理意義及模型參數(shù)對(duì)動(dòng)力響應(yīng)的影響,基于虛功方程推導(dǎo)瑞利阻尼的質(zhì)量相關(guān)部分和剛度相關(guān)部分,利用解析和數(shù)值方法對(duì)比分析不同瑞利阻尼系數(shù)下的一維黏彈性桿件的動(dòng)力響應(yīng).結(jié)果表明,瑞利阻尼質(zhì)量相關(guān)部分反映了外部環(huán)境因素對(duì)振動(dòng)體系的能量耗散作用;剛度相關(guān)部分反映了材料對(duì)動(dòng)力響應(yīng)的阻滯作用,表現(xiàn)為應(yīng)力不僅與應(yīng)變有關(guān),而且與應(yīng)變率相關(guān).一維黏彈性振動(dòng)響應(yīng)解析解和有限元數(shù)值解對(duì)比分析表明,常規(guī)有限單元軟件應(yīng)力計(jì)算時(shí),沒(méi)有考慮應(yīng)變率的貢獻(xiàn),導(dǎo)致計(jì)算應(yīng)力和實(shí)際應(yīng)力存在差異,計(jì)算應(yīng)力不滿足力邊界條件.有限元應(yīng)力計(jì)算誤差隨著瑞利阻尼系數(shù)和激勵(lì)頻率的增加而提高.
[Abstract]:In order to study the physical meaning of Rayleigh damping model and the effect of model parameters on dynamic response, the mass-dependent part and stiffness-dependent part of Rayleigh damping are derived based on the virtual work equation. The dynamic response of one-dimensional viscoelastic rod with different Rayleigh damping coefficients is analyzed by analytical and numerical methods. The results show that the relative parts of Rayleigh damping quality reflect the energy dissipation effect of external environmental factors on the vibration system. The stiffness-dependent part reflects the blocking effect of the material on the dynamic response, which shows that the stress is related not only to the strain but also to the strain rate. The comparative analysis of one-dimensional viscoelastic vibration response analytical solution and finite element numerical solution shows that the contribution of strain rate is not taken into account in the conventional finite element software stress calculation, which leads to the difference between the calculated stress and the actual stress. The calculated stress does not satisfy the force boundary condition. The calculation error of finite element stress increases with the increase of Rayleigh damping coefficient and excitation frequency.
【作者單位】： 浙江大學(xué)巖土工程研究所;浙江大學(xué)軟弱土與環(huán)境土工教育部重點(diǎn)實(shí)驗(yàn)室;浙江大學(xué)城市學(xué)院工程學(xué)院;浙江大學(xué)寧波理工學(xué)院土木建筑工程學(xué)院;
【基金】：國(guó)家“973”重點(diǎn)基礎(chǔ)研究發(fā)展規(guī)劃資助項(xiàng)目(2014CB047005) 國(guó)家自然科學(xué)基金資助項(xiàng)目(51578502,51278451) 國(guó)家重點(diǎn)研發(fā)計(jì)劃資助項(xiàng)目(2016YFC0800200) 浙江省自然科學(xué)基金面上項(xiàng)目(LY12E08011)
【分類號(hào)】：TU311.3

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