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靜電-非線性梁耦合問(wèn)題的Galerkin譜方法求解
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國(guó)家自然科學(xué)基金資助項(xiàng)目(50475104)、浙江省自然科學(xué)基金重點(diǎn)資助項(xiàng)目(Z106519)和福州大學(xué)科研啟動(dòng)基金資助項(xiàng)目(2011-XQ-14)


Electrostatic-Nonlinear Beam Coupling Problem Solved by Galerkin Spectral Method
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    摘要:

    以受預(yù)應(yīng)力直梁無(wú)阻尼模態(tài)作為Galerkin映射的譜函數(shù),,求解靜電-非線性梁耦合微器件的動(dòng)力學(xué)問(wèn)題,。對(duì)器件的Pull-in吸合和釋放動(dòng)態(tài)過(guò)程進(jìn)行仿真,,將結(jié)果與有限元結(jié)果和已有文獻(xiàn)的結(jié)果比較來(lái)驗(yàn)證模型的有效性,,研究表明:用這一方法建立的模型不僅能夠?qū)Σ煌d荷情況進(jìn)行多次快速仿真,,也能夠?qū)Σ煌瑤缀螀?shù)和材料參數(shù)的同類型器件進(jìn)行快速計(jì)算,,仿真精度高且減少了計(jì)算費(fèi)用,。

    Abstract:

    An undamped mode of pre-stressed straight beam was used as spectral function of Galerkin mapping to solve the dynamic problem for electrostatic-nonlinear beam coupling. The dynamic process of Pull-in and Pull-off for device was simulated. The proposed model was validated by comparing with the finite element results and the literature results. It was indicated that the proposed model not only had fast simulation ability with different action loads, but also suit for fast predicting the device characters variation with the different geometry size and different material parameters. The calculating results had sufficient accuracy and the computational costs were significantly reduced.

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林謝昭,應(yīng)濟(jì).靜電-非線性梁耦合問(wèn)題的Galerkin譜方法求解[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2012,43(4):208-211. Lin Xiezhao, Ying Ji. Electrostatic-Nonlinear Beam Coupling Problem Solved by Galerkin Spectral Method[J]. Transactions of the Chinese Society for Agricultural Machinery,2012,43(4):208-211.

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  • 在線發(fā)布日期: 2012-04-18
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