Fuzzy finite element method for vibration analysis of imprecisely defined bar

摘要: This thesis investigates the vibration of a bar for computing its natural frequency with interval or fuzzy material properties in finite element method. The problem is formulated first using energy equation by converting to generalized eigenvalue problem. obtained contains mass and stiffness matrix. In general these matrices contain crisp values parameters then it easy solve various well known methods. But, actual practice there are incomplete information about variables being result errors measurements, observations, applying different operating conditions may be maintenance induced error, etc. Rather than particular value we have only bounds values. These given term fuzzy. Thus will equations having matrices. So, turn one has As such detail study related computation been done. First considered. Then undertaken taking as Initially, Young’s modulus density considered two cases, homogenous other non-homogenous properties. analyzed Fuzzy terms number that triangular trapezoidal solved -cut obtain corresponding intervals. frequencies results depicted plots.