BITS Faculty Publications

Permanent URI for this communityhttp://localhost:4000/handle/123456789/1867

Browse

Filters

2012 - 20192

Settings

Author: search.filters.author.Rout, Bijay KumarSubject: search.filters.subject.Topology optimization

Search Results

Now showing 1 - 2 of 2
  • No Thumbnail Available
    Item
    Integrated method for performance analysis of reliability-based topologically optimized components
    (Sage, 2019-08) Rout, Bijay Kumar
    The available robust and reliable topology optimization methods provide quick and efficient design output in an uncertain environment. However, the whole domain of performance function remains hidden during this design process. In the interest of the designer, it is required to know the overall behavior of performance functions in deterministic as well as uncertain/realistic environment. The current work achieves this by proposing an integrated methodology, which combines the design of experiments approach and reliability-based topology optimization. The proposed method enables the designer to simulate performance functions in a desired design-factors space, including uncertainties, via reliability value. For this analysis, compliance, maximum deflection, mechanical advantage, and von Mises stress values are selected as performance functions. Volume fraction, applied force, and dimensions or aspect ratio are chosen as design/control factors. The uncertainties of these design factors are captured using reliability-based topology optimization. The uncertainties due to noncontrollable factors such as material property, load direction, and magnitude are incorporated using the design of experiments approach. Under these uncertainties, the performance of topologically optimized problem is simulated for different experimental combinations of the design factors. The experimental combinations for uncertainties and design factors are generated using Taguchi's orthogonal array. Simulated results are analyzed using techniques such as analysis of mean and variance, signal-to-noise ratio, and response surface method. These analyses help in identifying statistical significance of factors and uncertainties, performance variations, and equivalence relation of performance vs. factor. The proposed methodology is illustrated by selecting monolithic structures such as, on MBB, cantilever beam, and force inverter mechanism.
  • No Thumbnail Available
    Item
    Tolerance range section of topologically optimized structure using combined array design of experiments approach
    (Sage, 2012-11) Rout, Bijay Kumar
    Topology optimization is a popular method to optimize the material for structural components. For minimum compliance problem, the effectiveness of the obtained topology is characterized by its compliance value. Here, compliance value depends on many factors. Due to uncertainties in these factors, desired compliance value is difficult to achieve. The sensitivities of these factors have already been investigated by researchers. Present work focuses on the selection and the significance of tolerance of these factors. The tolerance of input factors like applied force, volume fraction, aspect ratio of material domain and modulus of elasticity are selected to investigate the effect on compliance. To select tolerance range, the concept of inner and outer orthogonal arrays proposed by Taguchi is employed along with solid isotropic microstructure with penalization method of topology optimization. Different tolerance ranges are selected for each factor and tolerance combinations are generated using inner array. Thereafter outer array is used to create replications of a particular combination. For each replicate, compliance value is simulated using solid isotropic microstructure with penalization method. Based on statistical analysis of obtained values, significant factors are identified and optimal tolerance ranges are selected. In similar way, maximum deflection values are also simulated for analysis. Proposed methodology is applied on four different benchmark problems. The presented approach provides the effect of each possible set of tolerance on performance functions, which are compliance and deflection values. This work will be helpful to designers to select optimum tolerance of factors to achieve desired compliance value and performance for a topologically optimized structure prior to manufacturing in the realistic environment.