As engineering applications become increasingly complex, they are often characterized by implicit response functions that are both expensive to evaluate and nonlinear in their behavior. Reliability assessment given this type of response is difficult with available methods. Current reliability methods focus on the discovery of a single most probable point of failure, and then build a low-order a...

A new method for structural topology optimization is introduced which employs the Isogeometric Analysis (IA) method. In this approach, an implicit function is constructed over the whole domain by Non-Uniform Rational B-Spline (NURBS) basis functions which are also used for creating the geometry and the surface of solution of the elasticity problem. Inspiration of the level set method zero level...

The objective of the article involves presenting two approaches to structure reliability analysis. primary research method was First Order Reliability Method (FORM). Hasofer–Lind index ? in conjunction with transformation FORM adopted as measure reliability. first proposal combining NUMPRESS software non-commercial KRATA program. In this case, implicit form random variables function created. Li...

In recent years, deep neural networks have yielded state-of-the-art performance on several tasks. Although some recent works have focused on combining deep learning with recommendation, we highlight three issues of existing works. First, most works perform deep content feature learning and resort to matrix factorization, which cannot effectively model the highly complex user-item interaction fu...

presented here is a generalization of the implicit enumeration algorithm that can be applied when the objec-tive function is being maximized and can be rewritten as the difference of two non-decreasing functions. also developed is a computational algorithm, named linear speedup, to use whatever explicit linear constraints are present to speedup the search for a solution. the method is easy to u...

We consider a recent plate model obtained as scaled limit of the three-dimensional Biot system poro-elasticity. The result is ‘2.5’-dimensional linear that couples traditional Euler–Bernoulli dynamics to pressure equation in three dimensions, where diffusion acts only transversely. allow permeability function be time dependent, making problem non-autonomous and disqualifying much standard abstr...