振动与冲击
振動與遲擊
진동여충격
Journal of Vibration and Shock
2015年
21期
150-156,174
,共8页
非线性动力响应%压电%板%BNNT%电-热-力载
非線性動力響應%壓電%闆%BNNT%電-熱-力載
비선성동력향응%압전%판%BNNT%전-열-력재
nonlinear dynamic response%piezoelectric%plate%BNNT%electro-thermo-mechanical loadings
研究了电－热－力载荷作用下硼氮纳米管（BNNTs）增强压电板的非线性动力响应。运用板的非线性应变几何关系及考虑温度效应的压电理论，建立了 BNNTs 增强压电板的本构关系。通过变分推导出了结构的非线性动力控制方程。在空间上采用差分法离散，在时间上采用 Newton-Newmark 方法离散，整个问题采用迭代法进行求解。算例中，详细讨论了电压、温度、载荷、体积比以及外激励频率等因素对 BNNTs 增强压电板非线性动力响应的影响。
研究瞭電－熱－力載荷作用下硼氮納米管（BNNTs）增彊壓電闆的非線性動力響應。運用闆的非線性應變幾何關繫及攷慮溫度效應的壓電理論，建立瞭 BNNTs 增彊壓電闆的本構關繫。通過變分推導齣瞭結構的非線性動力控製方程。在空間上採用差分法離散，在時間上採用 Newton-Newmark 方法離散，整箇問題採用迭代法進行求解。算例中，詳細討論瞭電壓、溫度、載荷、體積比以及外激勵頻率等因素對 BNNTs 增彊壓電闆非線性動力響應的影響。
연구료전－열－력재하작용하붕담납미관（BNNTs）증강압전판적비선성동력향응。운용판적비선성응변궤하관계급고필온도효응적압전이론，건립료 BNNTs 증강압전판적본구관계。통과변분추도출료결구적비선성동력공제방정。재공간상채용차분법리산，재시간상채용 Newton-Newmark 방법리산，정개문제채용질대법진행구해。산례중，상세토론료전압、온도、재하、체적비이급외격려빈솔등인소대 BNNTs 증강압전판비선성동력향응적영향。
The nonlinear dynamic response of a piezoelectric plate reinforced with boron nitride nanotubes (BNNTs)under electro-thermo-mechanical loadings was studied.Using nonlinear strains based on the plate theory and the piezoelectric theory considering thermal effects,the constitutive relations of the piezoelectric plate reinforced with BNNTs were established.Then,the dynamic governing equations of the structure were derived with the variational principle.Using the difference method in space and Newton-Newmark method in time,the whole problem was solved with the iteration method.In numerical examples,the effects of voltage,temperature,mechanical load,volume ratio and external excitation frequency on the nonlinear dynamic response of the piezoelectric plate reinforced with BNNTs were discussed.
