广西大学学报（自然科学版）
廣西大學學報（自然科學版）
엄서대학학보（자연과학판）
JOURNAL OF GUANGXI UNIVERSITY （NATURAL SCIENCE EDITION）
2015年
1期
127-134
,共8页
样条有限点法%压电材料%功能梯度材料%压电非线性特性%热环境%自由振动
樣條有限點法%壓電材料%功能梯度材料%壓電非線性特性%熱環境%自由振動
양조유한점법%압전재료%공능제도재료%압전비선성특성%열배경%자유진동
spline finite point method%piezoelectric material%functional graded material%nonlinear piezoelectric property%thermal effect%free vibration
为了研究热环境中强电场作用下压电材料的电致非线性效应对压电功能梯度( P/FGM/P)板自由振动的影响，基于高阶剪切变形理论，采用压电材料电致非线性本构关系，同时考虑电场和热荷载的作用，通过样条有限点法建立P/FGM/P板动力分析模型，讨论了压电线性与非线性效应的差别，以及热环境中强电场对P/FGM/P板自振频率的控制效果。结果表明：随电场增大，压电线性解与非线性解偏差增大，且偏差大小同时还受边界约束影响。随温度升高，由于板的刚度减小，电场对P/FGM/P板自振频率的控制效果变好。同时也证明了样条有限点法具有编程简便、精度好及效率高等优点。
為瞭研究熱環境中彊電場作用下壓電材料的電緻非線性效應對壓電功能梯度( P/FGM/P)闆自由振動的影響，基于高階剪切變形理論，採用壓電材料電緻非線性本構關繫，同時攷慮電場和熱荷載的作用，通過樣條有限點法建立P/FGM/P闆動力分析模型，討論瞭壓電線性與非線性效應的差彆，以及熱環境中彊電場對P/FGM/P闆自振頻率的控製效果。結果錶明：隨電場增大，壓電線性解與非線性解偏差增大，且偏差大小同時還受邊界約束影響。隨溫度升高，由于闆的剛度減小，電場對P/FGM/P闆自振頻率的控製效果變好。同時也證明瞭樣條有限點法具有編程簡便、精度好及效率高等優點。
위료연구열배경중강전장작용하압전재료적전치비선성효응대압전공능제도( P/FGM/P)판자유진동적영향，기우고계전절변형이론，채용압전재료전치비선성본구관계，동시고필전장화열하재적작용，통과양조유한점법건립P/FGM/P판동력분석모형，토론료압전선성여비선성효응적차별，이급열배경중강전장대P/FGM/P판자진빈솔적공제효과。결과표명：수전장증대，압전선성해여비선성해편차증대，차편차대소동시환수변계약속영향。수온도승고，유우판적강도감소，전장대P/FGM/P판자진빈솔적공제효과변호。동시야증명료양조유한점법구유편정간편、정도호급효솔고등우점。
In order to understand the impact of nonlinear electric property of piezoelectric material on the free vibration behavior of piezoelectric FGM ( P/FGM/P) plate, the high-order shear deform-ation theory and nonlinear piezoelectric constitutive relations were introduced. A dynamic model of P/FGM/P plates was established using the spline finite point method with the role of electric load and thermal load taken into account to understand the influence of these characteristics on the free vibration behavior of P/FGM/P plates. According to the analysis model, the difference between lin-ear and nonlinear effects was discussed. The control effect of a strong electric field on the vibration frequency of P/FGM/P plates in the thermal environment was studied. The studies show that the de-viation between linear solution and nonlinear solution is affected by the boundary and increased with the increase of electric field. Due to the reduction of plate stiffness, the control effect of electric <br> field on the vibration frequency of the P/FGM/P plates increases with the increase of temperature. It also shows that the spline finite point method has advantages of easy programming, good accuracy and high efficiency, which was good for the analysis of the P/FGM/P plates.
