基于模態(tài)疊加法的面壓載荷與基礎(chǔ)激勵(lì)等效方法
發(fā)布時(shí)間:2018-08-19 11:54
【摘要】:基于模態(tài)疊加法,將隨機(jī)面壓載荷等效為隨機(jī)基礎(chǔ)激勵(lì),為薄壁構(gòu)件的振動(dòng)臺(tái)試驗(yàn)替代成本較高的噪聲試驗(yàn)提供依據(jù).該方法要求等效前后2種載荷作用下主模態(tài)位移一致,將單源載荷等效這一超靜定問(wèn)題合理簡(jiǎn)化為靜定問(wèn)題.以炭/炭復(fù)合材料懸臂板為研究對(duì)象,來(lái)驗(yàn)證載荷等效方法的有效性.分析結(jié)果顯示,在隨機(jī)面壓載荷及等效隨機(jī)基礎(chǔ)激勵(lì)作用下,板上典型部位隨機(jī)正應(yīng)力響應(yīng)的功率譜密度高度吻合,在分析頻段內(nèi)危險(xiǎn)點(diǎn)處x軸向正應(yīng)力響應(yīng)均方根分析誤差低于1%,分布在板上的5個(gè)響應(yīng)點(diǎn)處x軸向正應(yīng)力響應(yīng)均方根分析誤差低于2%.該方法能有效地將隨機(jī)面壓載荷等效為基礎(chǔ)激勵(lì),保證等效前后2種載荷作用下薄壁構(gòu)件的隨機(jī)動(dòng)應(yīng)力響應(yīng)在頻域及空間域上的分布一致性.
[Abstract]:Based on the modal superposition method, the random surface compression load is equivalent to the random foundation excitation, which provides the basis for replacing the high-cost noise test with the shaking table test of thin-walled members. In this method, the displacement of the main mode should be the same under the two kinds of loads, and the statically indeterminate problem of the equivalent load of a single source should be reasonably simplified as a statically indeterminate problem. The cantilever plate of carbon / carbon composites was studied to verify the effectiveness of the load equivalent method. The results show that the power spectral density of the random normal stress response of typical parts of the plate is in good agreement with the equivalent random foundation excitation under the random surface compression load. The root mean square error of x axial normal stress response is less than 1 at the risk point in the analysis band, and less than 2% at 5 response points distributed on the plate. This method can effectively equalize the random surface compressive load as the basic excitation, and ensure the distribution consistency of the random dynamic stress response of thin-walled members in frequency domain and spatial domain under the two kinds of equivalent loads.
【作者單位】: 東南大學(xué)土木工程學(xué)院;
【基金】:國(guó)家自然科學(xué)基金資助項(xiàng)目(11402052,11572086) 教育部新世紀(jì)優(yōu)秀人才支持計(jì)劃資助項(xiàng)目(NCET-11-0086) 江蘇省自然科學(xué)基金資助項(xiàng)目(BK20140616)
【分類號(hào)】:TB332
本文編號(hào):2191580
[Abstract]:Based on the modal superposition method, the random surface compression load is equivalent to the random foundation excitation, which provides the basis for replacing the high-cost noise test with the shaking table test of thin-walled members. In this method, the displacement of the main mode should be the same under the two kinds of loads, and the statically indeterminate problem of the equivalent load of a single source should be reasonably simplified as a statically indeterminate problem. The cantilever plate of carbon / carbon composites was studied to verify the effectiveness of the load equivalent method. The results show that the power spectral density of the random normal stress response of typical parts of the plate is in good agreement with the equivalent random foundation excitation under the random surface compression load. The root mean square error of x axial normal stress response is less than 1 at the risk point in the analysis band, and less than 2% at 5 response points distributed on the plate. This method can effectively equalize the random surface compressive load as the basic excitation, and ensure the distribution consistency of the random dynamic stress response of thin-walled members in frequency domain and spatial domain under the two kinds of equivalent loads.
【作者單位】: 東南大學(xué)土木工程學(xué)院;
【基金】:國(guó)家自然科學(xué)基金資助項(xiàng)目(11402052,11572086) 教育部新世紀(jì)優(yōu)秀人才支持計(jì)劃資助項(xiàng)目(NCET-11-0086) 江蘇省自然科學(xué)基金資助項(xiàng)目(BK20140616)
【分類號(hào)】:TB332
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