Development of synthesized analysis/design system for rubber-based energy dissipation devices

本文建立了叠层橡胶支座的有限元模型，提出了叠层橡胶支座的设计准则。在研究的第一部分，系统地进行了橡胶的材料试验，了解其基本力学行为，即应力-应变关系、速率依赖关系和破坏状态。在此基础上，提出了弹塑性体与超弹性体平行组合的本构律。此外，还提出了应变不变量多项式组合的失效准则。所提出的本构律和破坏准则与试验结果吻合较好。然后，提出了一种分析方法，将图像处理测量的叠层橡胶支座应变场与有限元分析相结合，验证了所建模型对包含局部变形的叠层橡胶支座的适用性。利用基于图像的分析方法，计算了橡胶材料的体积模态。在研究的第二部分，建立了层合橡胶支座的三维有限元模型。本文采用混合有限元法将所提出的本构模型纳入计算，并在大变形条件下稳定数值计算。为了验证所建立模型的准确性，对叠层橡胶支座进行了多轴加载试验和破坏试验。通过与试验结果的对比，验证了所建立的有限元模型的适用性，表明所建立的有限元模型具有预测橡胶支座性能的能力。在研究的最后一部分，提出了叠层橡胶支座的垂直、旋转和扭转变形和破坏的设计准则。所提出的准则与实验结果和/或有限元预测结果吻合良好，这意味着本设计规范的精度可以大大提高。少

In this research, finite element model of laminated rubber bearings is developed and their design criteria are proposed.At the first part of the research, the material tests of rubber are systematically conducted to understand their basic mechanical behaviors, I.e., stress-strain relation, rate dependency and failure state. Based on the results of these tests, a constitutive law, which consists of parallel combination of elasto-plastic body and hyper elastic body, is proposed. Furthermore, a failure criterion, which is the combination of polynomials of the strain invariants, is also developed. The proposed constitutive law and the failure criterion are shown to agree well with the experimental results. Then, an analysis method is proposed, in which the strain field of laminated rubber bearings measured by image processing is combined with the finite element analysis to confirm the applicability of the proposed model to the bearing including local deformation. Furthermore, the bulk modu … More lus of rubber materials is computed by this image-based analysis method.At the second part of the research, three dimensional finite element model of laminated rubber bearings is developed. Here, a mixed finite element method is employed to incorporate the proposed constitutive model and to stabilize the numerical computation at large deformation. In order to verify the accuracy of the developed model, multi-axial loading experiments and failure experiment of laminated rubber bearings are conducted. Applicability of the developed finite element model is verified in comparison with these experimental results and developed finite element model is shown to have the capability to predict the behavior of the rubber bearings.At the last part of the research, design criteria for vertical, rotational, and torsional deformation, and failure of laminated rubber bearings are proposed. The proposed criteria show good agreement with experimental results and/or finite element prediction, which implies that the accuracy of the present design code can be improved considerably. Less