A modified variational approach for the analysis of piled raft foundation

A modified variational approach is presented to study the behavior of piled raft foundation under vertical loads. The free-body for analysis is a flexible raft isolated from piled raft foundation instead of pile group–soil system or whole pile raft system, which are usually used in other researches. The deflected shape of raft is represented by a function with a set of undetermined coefficients and the interactions between piles and/or the surface loads of soil are evaluated by a simplified approximate analytical solution. The response of the piled raft system is determined by the principle of minimum potential energy. Compared to other rigorous approaches, the present method is computationally efficient and inexpensive. The solutions obtained using the present method of analysis are shown to be in good agreement with other available published results.     

拱坝-地基动力体系的简化计算模型及其在地震作用下的动力反应分析

通过对拱坝地基的半无限空间动力体系的分析,提出了拱坝－地基动力相互作用问题的简化求解途径,并结合小湾拱坝进行了实际分析。结果表明,这种直接应用于时域求解的简化模型,既反映了影响相互作用的主要因素,又使计算工作量大大减少,结果可靠合理,便于工程上的推广应用,同时为进一步进行非线性体系在时域中的简化计算打下了基础。     

A general solution of the axisymmetric contact problem for biphasic cartilage layers

A unilateral axisymmetric contact problem for articular cartilage layers is considered. The articular cartilages bonded to subchondral bones are modeled as biphasic materials consisting of a solid phase and a fluid phase. It is assumed that the subchondral bones are rigid and shaped like bodies of revolution with arbitrary convex profiles. The obtained closed-form analytical solution is valid over time periods compared with the typical diffusion time and can be used for increasing loading.     

A non-intrusive approach for the reconstruction of POD modal coefficients through active subspaces

Reduced order modeling (ROM) provides an efficient framework to compute solutions of parametric problems. Basically, it exploits a set of precomputed high-fidelity solutions—computed for properly chosen parameters, using a full-order model—in order to find the low dimensional space that contains the solution manifold. Using this space, an approximation of the numerical solution for new parameters can be computed in real-time response scenario, thanks to the reduced dimensionality of the problem. In a ROM framework, the most expensive part from the computational viewpoint is the calculation of the numerical solutions using the full-order model. Of course, the number of collected solutions is strictly related to the accuracy of the reduced order model. In this work, we aim at increasing the precision of the model also for few input solutions by coupling the proper orthogonal decomposition with interpolation (PODI)—a data-driven reduced order method—with the active subspace (AS) property, an emerging tool for reduction in parameter space. The enhanced ROM results in a reduced number of input solutions to reach the desired accuracy. In this contribution, we present the numerical results obtained by applying this method to a structural problem and in a fluid dynamics one.