Multi-load structural morphogenesis within arbitrary design domains based on space mapping
The challenges of morphogenesis in building structures in a physical environment include the arbitrariness of spatial forms and the variety of loading conditions.To this end,a morphogenesis method for continuum structures considering multi-load conditions was proposed based on the space mapping theory.By establishing an orthogonal parameter space with a mapping relationship,a reasonable arrangement of the free-form structure can be achieved in any complex design domain.The continuity assumption was introduced to ensure that the stresses were distributed continuously in the parameter space of the entire design domain,allowing the morphology to evolve iteratively in bi-directions at the global-structural level.The generalized mean distance was utilized to determine the evolutionary thresholds of the most unfavorable stress distribution state for all loading conditions.Subsequently,the corresponding stress isolines/isosurfaces are extracted,and ultimately,the structures free of form and topology were obtained.The 2D and 3D numerical examples demonstrate that the material volume is significantly reduced,and the von Mises stresses tend to be uniformly distributed under the constraints of maximum allowable stresses and displacements.The structural morphology considers the transmission paths of each individual load case,confirming the effectiveness of the method.The proposed space mapping-based morphogenesis method for continuum structures can generate free-form structures with efficient mechanical properties in any design domain under multi-load conditions.
continuum structuresmorphogenesisspace mappingmulti-loadparameter space
万方数据
维普
