CAJ | 학술논문

通过种群动力学模型和有限元方法的耦合建立了骨骼重建数学模型，然后用像素单元的添加和删除准则把骨重建过程转化为材料形成和吸收过程，对连续体结构提出了仿生拓扑优化计算方法。通过对两个连续体结构拓扑优化中被广泛应用的典型数值算例进行拓扑优化计算，并将其结果与其它几种拓扑优化方法进行比较，验证了该方法的有效性。最终在三种不同边界条件下对长悬臂梁模型进行拓扑优化计算，以及在四种不同边界条件下拱桥模型进行拓扑优化计算，获得规则性和对称性的拓扑形式，该结果进一步说明了该仿生方法的合理性和可行性。
통과충군동역학모형화유한원방법적우합건립료골격중건수학모형，연후용상소단원적첨가화산제준칙파골중건과정전화위재료형성화흡수과정，대련속체결구제출료방생탁복우화계산방법。통과대량개련속체결구탁복우화중피엄범응용적전형수치산례진행탁복우화계산，병장기결과여기타궤충탁복우화방법진행비교，험증료해방법적유효성。최종재삼충불동변계조건하대장현비량모형진행탁복우화계산，이급재사충불동변계조건하공교모형진행탁복우화계산，획득규칙성화대칭성적탁복형식，해결과진일보설명료해방생방법적합이성화가행성。
The population dynamics model was coupled with finite element method to establish a simple mathematical model of bone remodeling.The bone remodeling process was translated to a material formation and resorption process by using the element adding and removing technique.Then,a new bionic approach for topology optimization of continuum structures was proposed.Two widely used examples of continuum structural topology optimization were carried out by using the presented bionic approach and the results were compared with those by other topology optimization techniques to confirm the validity of the proposed method.Finally,a long cantilever beam structure under three different boundary conditions and a bridge type structure under four different boundary conditions were respectively analysed by using the presented approach and the topology with regularity and symmetry were obtained.The results further explain the feasibility and reasonability of the proposed bionic approach.