A leaf spring is simple form of spring, generally used for the suspension in automotives. Earlier it was like a slender arc-shaped having length of a spring steel of rectangular crosssection. In this paper analysis is done for leaf spring whose thickness varies from the center to the outer side following a parabolic pattern. The development of a parabolic tapered leaf spring enabled the springs to become lighter, but also provides a much improved ride to the vehicle through a reduction on interleaf friction. To move further, authors take an opportunity to perform a Finite element analysis (FEA) on the spring model so that stress and damage distribution can be observed. In this paper, initially the magnitude of stress pertaining to parabolic leaf spring is computed by finite element method and then the approach to minimizing the stress has been carried out effectively with help of Local Algorithm fo
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