长沙理工大学学报（自然科学版）
長沙理工大學學報（自然科學版）
장사리공대학학보（자연과학판）
Journal of Changsha University of Science and Technology (Natural Science)
2015年
3期
63-67
,共5页
屈曲%压电梁%硼氮纳米管%电-热-力载
屈麯%壓電樑%硼氮納米管%電-熱-力載
굴곡%압전량%붕담납미관%전-열-력재
buckling%piezoelectric beam%boron nitride nanotubes%electro-thermo-mechani-cal loadings
运用线性应变几何关系及考虑温度效应的压电理论，建立了 BNNTs 增强压电梁的本构关系，通过变分推导出了结构的屈曲控制方程。算例中详细讨论了电压、温度、边界条件及体积比对 BNNTs 增强压电梁屈曲载荷的影响。研究结果表明，在 BNNTs 两端施加负或正电压可使压电梁的屈曲载荷增加或减小；BNNTs 增强压电梁的屈曲载荷随着温度的降低以及硼氮纳米管所占体积比的增加而增大。
運用線性應變幾何關繫及攷慮溫度效應的壓電理論，建立瞭 BNNTs 增彊壓電樑的本構關繫，通過變分推導齣瞭結構的屈麯控製方程。算例中詳細討論瞭電壓、溫度、邊界條件及體積比對 BNNTs 增彊壓電樑屈麯載荷的影響。研究結果錶明，在 BNNTs 兩耑施加負或正電壓可使壓電樑的屈麯載荷增加或減小；BNNTs 增彊壓電樑的屈麯載荷隨著溫度的降低以及硼氮納米管所佔體積比的增加而增大。
운용선성응변궤하관계급고필온도효응적압전이론，건립료 BNNTs 증강압전량적본구관계，통과변분추도출료결구적굴곡공제방정。산례중상세토론료전압、온도、변계조건급체적비대 BNNTs 증강압전량굴곡재하적영향。연구결과표명，재 BNNTs 량단시가부혹정전압가사압전량적굴곡재하증가혹감소；BNNTs 증강압전량적굴곡재하수착온도적강저이급붕담납미관소점체적비적증가이증대。
By employing linear strain and utilizing piezoelectric theory including thermal effects,the constitutive relations of the piezoelectric beam reinforced with BNNTs are es-tablished.The buckling governing equations of the structure are derived through variational principle.In numerical examples,the effects of voltage,temperature,boundary condition and volume fraction on the buckling load of piezoelectric beam reinforced with BNNTs are discussed in detail.The following conclusions may be drawn from the present work:apply-ing negative and positive voltage to BNNT leads to increase and decrease of the buckling load.The buckling load of piezoelectric beam reinforced with BNNTs increases with the de-crease of temperature,and also increases when the volume fraction of BNNT in matrix in-creases.
