CAJ | 학술논문

在研究模糊有限元分析基本理论以及借鉴前人研究成果的基础上,采用模糊变量表达结构参量的不确定性;并基于区间运算和区间有限元理论,提出了用于求解模糊有限元自由振动方程的l阶泰勒级数展开算法.该算法避免了由于2阶泰勒展开所造成的区间扩张问题,在保证精度的前提下大大减小了计算量;随后又基于APDL语言用大型有限元软件ANSYS进行了二次开发,通过参数化语言的方式实现了该算法.最后以某大跨拱桥为例,在对其刚度和质量进行模糊化的条件下,基于ANsYs软件的二次开发功能采用该算法对算例中拱桥的动力特性进行了模糊有限元计算,从而验证了该算法在实际结构动力设计中的可行性和有效性.
재연구모호유한원분석기본이론이급차감전인연구성과적기출상,채용모호변량표체결구삼량적불학정성;병기우구간운산화구간유한원이론,제출료용우구해모호유한원자유진동방정적l계태륵급수전개산법.해산법피면료유우2계태륵전개소조성적구간확장문제,재보증정도적전제하대대감소료계산량;수후우기우APDL어언용대형유한원연건ANSYS진행료이차개발,통과삼수화어언적방식실현료해산법.최후이모대과공교위례,재대기강도화질량진행모호화적조건하,기우ANsYs연건적이차개발공능채용해산법대산례중공교적동력특성진행료모호유한원계산,종이험증료해산법재실제결구동력설계중적가행성화유효성.
Based on the study of the basic theory of fuzzy finite element method (FFEM) and reference to the former researches, the fuzzy parameters were adopted to express the uncertainty of structure parameters, and the first order Taylor series expansion method for solving the fuzzy finite element natural vibration equations was presented based on interval operation and interval finite element theory. This algorithm could avoid the interval extension problem due to the second order Taylor expansion, decrease the calculation workload and keep the precision. The second development with ANSYS based on APDL language was done to carry out this algorithm by parametric description. Finally, the dynamic property of a long span arch bridge with fuzzy stiffness and mass parameters was calculated using the presented algorithm based on the ANSYS second development program, and the result illuminates the feasibility and validity of the method in dynamic design of real bridge structures.