Department of Mechanical engineering

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Author: search.filters.author.Rout, Bijay KumarSubject: search.filters.subject.Optimization

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    Numerical Simulation of Compliance Variation for a Topology-Optimized Structure
    (IEEE, 2011) Rout, Bijay Kumar
    Topology optimization is a well-developed tool in the domain of structural design. It generates the optimized topology over a predefined material space, subject to desired objective function and amount of material-reduction. In the obtained "optimized structure", reliability plays a vital role. The ongoing research in this area, explored the possibilities of dealing with uncertainties and errors involved in the design and manufacturing process, statistically. In the present work, few sources of uncertainty like modulus of elasticity, yield stress and applied force are chosen to examine their effects on optimized structure. The variation and uncertainty in these parameters, affect compliance value of the structure, and may cause design failure too. Hence, it is important to simulate the compliance-variation and various possible consequences of failure. In order to achieve these objectives, a methodology is designed, based on Monte Carlo Simulation (MCS), which simulates the realistic conditions numerically. This methodology is implemented on MATLAB, and an MBB- beam problem is simulated for realistic conditions. The results show the variation of compliance from the deterministic value and the strength-reliability is estimated. Presented work will be an aid to the design and analysis phase of topology optimization process, which incorporates the realistic conditions. In addition, it will be very helpful to evaluate the various reliability based topology optimization techniques.
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    Investigation on parametric sensitivity of topologically optimized structures
    (Sage, 2012-02) Rout, Bijay Kumar
    Topology optimization is a powerful method of material minimization in structural design problems. The obtained topology and the compliance values by this method are very sensitive to each of the input parameters such as, applied force, volume fraction, dimensions, and support-rigidity. In real-life situations, these parameters may vary due to material uncertainty, manufacturing imperfections, and operating conditions. Hence, the topology obtained during the conceptual design phase may not suffice the actual working condition. Thus, it is desirable to explore individual and the combined effects of the parametric variations and uncertainties. This study describes a systematic approach utilized to investigate the effect of different input parameters on compliance values along with material and load uncertainties for a topologically optimized structure. In this paper, applied force, volume fraction, and aspect ratio of the domain are treated as input parameters and their effects are analyzed. Proposed work modifies the solid isotropic microstructure with penalization method to incorporate the effect of uncertainties and uses design of experiments approach to investigate statistically significant input parameters. Four different benchmark problems available in the literature are analyzed and the results are obtained for aforesaid input parameters along with uncertainties. Results obtained from this investigation will help designers/practitioners to select suitable input parameters combination to achieve targeted compliance.