{"product_id":"exact-probability-density-function-using-multivariate-transformation-von-seifedine-kadry","title":"Exact probability density function using multivariate transformation","description":"\u003cp\u003eThe modeling of mechanical systems can be defined as  the mathematical idealization of the physical phenomena controlling it. This implies  to define the input variables (geometrical parameters, loading conditions...) and  the output variables (displacements, stresses...) allow us to understand the evolution of  the mechanical system. Indeed, we cannot admit to  use  the deterministic models where only the average parameters are  considered, because it generally leads to wrong representation of the reality. Hence, it is  interesting to introduce the uncertainties in parameter evaluation and to consider their  variability. The fundamental issue of probabilistic studies is therefore to take into  account the uncertain character and the spatial variability of parameters.The objective of  this book is therefore to analyze and to study the  probabilistic response of a mechanical system with  uncertain parameters. Contrary to other numerical methods, the proposed technique couples the  deterministic finite element method and the probabilistic transformation method, to evaluate  analytically the probability density function of the response.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843366809\"\u003e\u003ch3\u003eApplied to static and dynamic stochastic mechanical system\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843366809","offer_id":39469954465885,"sku":"9783843366809","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/1a1d6ad7-4fc0-4ced-8e0c-131fd64c40fc.jpg?v=1769666774","url":"https:\/\/shop.autorenwelt.de\/en\/products\/exact-probability-density-function-using-multivariate-transformation-von-seifedine-kadry","provider":"Autorenwelt Shop","version":"1.0","type":"link"}