CAJ | 학술논문

研究了含有区间参数梁结构在温度载荷和力载荷共同作用下的热弹耦合动力响应问题。建立了热弹耦合动力学有限元模型，给出了对结构瞬态温度场和动力响应进行相互交替迭代求解的耦合计算方法，其中，结构瞬态温度场利用有限差分法求解，结构动力响应则利用时间积分法求解。针对区间变量的有限元方程，基于各变量在区间范围内为均匀分布的近似处理，利用改进的蒙特卡罗方法求解，获得动力响应的区间范围。通过悬臂梁算例，分析了热弹耦合效应对动力响应的影响，并针对结构的弹性模量和热膨胀系数区间范围增大的情况进行了比较和分析，得出这两参数以及结构变形大小是影响耦合效应的主要因素。
연구료함유구간삼수량결구재온도재하화력재하공동작용하적열탄우합동력향응문제。건립료열탄우합동역학유한원모형，급출료대결구순태온도장화동력향응진행상호교체질대구해적우합계산방법，기중，결구순태온도장이용유한차분법구해，결구동력향응칙이용시간적분법구해。침대구간변량적유한원방정，기우각변량재구간범위내위균균분포적근사처리，이용개진적몽특잡라방법구해，획득동력향응적구간범위。통과현비량산례，분석료열탄우합효응대동력향응적영향，병침대결구적탄성모량화열팽창계수구간범위증대적정황진행료비교화분석，득출저량삼수이급결구변형대소시영향우합효응적주요인소。
The dynamic response of thermo-elastic coupling of the beam structure with interval parameters is studied under both the thermal load and force load.The dynamic model of thermo-elastic coupling is set up using the finite element method.The coupled calculation method is proposed for solving the transient temperature field and dynamical response by iterative solution,in which the finite difference method is used for solving the transient temperature field,and time integration method is used for solving structural dynamic response.The equations for the model with interval parameters are solved by the improved Monte Carlo numerical simulation method assuming that each variable is uniformly distributed,and then the interval distribution range of the dynamic response is determined.Finally,the thermo-elastic coupling effect on the dynamic response of the cantilever beam is analyzed.Numerical examples show that the thermo-elastic coupling effect is mainly determined by the increased interval range of the elastic modulus and thermal expansion coefficient influence and the magnitude of deformation.