【正文】 數(shù)型功能梯度壓電材料圓板在軸對(duì)稱載荷作用下的簡(jiǎn)化理論與解析解，獲得了板的周邊固定或簡(jiǎn)支并接地情況下中性層法線轉(zhuǎn)角的解和用FourierBessel級(jí)數(shù)表示的電勢(shì)解，這個(gè)解有足夠的精度，在形式上比精確解簡(jiǎn)潔得多，便于數(shù)值計(jì)算和應(yīng)用[6]。由于問題的相似性，本文只討論平面應(yīng)變問題。N1 壓電常數(shù)/1012C對(duì)于功能梯度壓電梁（α≠0），σx厚度方向呈非線性變化，而位移u沿厚度方向保持為線性分布，但在z=0處，當(dāng)α≠0時(shí)，位移μ并不為零。假設(shè)所有電彈性材料常數(shù)沿厚度方向按同一函數(shù)規(guī)律變化，獲得了功能梯度壓電梁在上表面受均布?jí)毫Α⒆杂啥耸芗辛凹辛芈?lián)合作用問題的力電耦合場(chǎng)。開展對(duì)功能梯度材料相關(guān)結(jié)構(gòu)的實(shí)驗(yàn)研究，從實(shí)驗(yàn)結(jié)果方面進(jìn)一步驗(yàn)證本文得到的一些結(jié)果參 考 文 獻(xiàn)[1]于濤,，2006,36(5):518~529[2]向宏軍,北京:北京交通大學(xué),2007 [3]黃彬彬,，2002,19(4):107~113[4]陳盈,2004,25(2):242~245[5]黃德進(jìn),浙江:浙江大學(xué),2009[6]仲政,2010,40(5):529~541[7]方詩圣,合肥:合肥工業(yè)大學(xué),2006 [8] 李華東,2004,34(1):40~46[9]于濤,2006,27(1):16~20[10]向宏軍,2006,30(1):31~39 [11]劉婷婷,2004,28(1):48~50[12]楊永波,2004,36(3):306~310[13]王建哲,湖南:湖南大學(xué)，2012[14]黃德進(jìn),2007,28(7):764~768[15]張曉日，仲政. 功能梯度壓電圓板自由振動(dòng)問題的三維精確分析. 力學(xué)季刊，2005，26(1): 8186[16]伍曉紅, 沈亞鵬. 壓電功能梯度板自由振動(dòng)的三維解. 固體力學(xué)學(xué)報(bào), 2003, 24(1): 7582[17]仲政, 尚爾濤. 功能梯度熱釋電材料矩形板的三維精確分析. 力學(xué)學(xué)報(bào)，2003，35(5)：542552[18]Kashtalyan M. 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