{"id":88546,"date":"2024-10-18T06:56:12","date_gmt":"2024-10-18T06:56:12","guid":{"rendered":"https:\/\/pdfstandards.shop\/product\/uncategorized\/asce-9780784476864-2012\/"},"modified":"2024-10-24T20:19:59","modified_gmt":"2024-10-24T20:19:59","slug":"asce-9780784476864-2012","status":"publish","type":"product","link":"https:\/\/pdfstandards.shop\/product\/publishers\/asce\/asce-9780784476864-2012\/","title":{"rendered":"ASCE 9780784476864 2012"},"content":{"rendered":"

LNMech 2 presents the main concepts, formulations, and recent advances in the use of a mathematical-mechanical modeling process to predict the responses of a real structural system in its environment.<\/p>\n

PDF Catalog<\/h4>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
PDF Pages<\/th>\nPDF Title<\/th>\n<\/tr>\n
1<\/td>\nCover <\/td>\n<\/tr>\n
6<\/td>\nContents <\/td>\n<\/tr>\n
10<\/td>\n1 Introduction <\/td>\n<\/tr>\n
12<\/td>\n2 Short overview of probabilistic modeling of uncertainties and related topics
2.1 Uncertainty and variability <\/td>\n<\/tr>\n
13<\/td>\n2.2 Types of approach for probabilistic modeling of uncertainties <\/td>\n<\/tr>\n
15<\/td>\n2.3 Types of representation for the probabilistic modeling of uncertainties <\/td>\n<\/tr>\n
18<\/td>\n2.4 Construction of prior probability models using the maximum entropy principle under the constraints defined by the available information <\/td>\n<\/tr>\n
20<\/td>\n2.5 Random Matrix Theory <\/td>\n<\/tr>\n
24<\/td>\n2.6 Propagation of uncertainties and methods to solve the stochastic dynamical equations <\/td>\n<\/tr>\n
26<\/td>\n2.7 Identification of the prior and posterior probability models of uncertainties <\/td>\n<\/tr>\n
28<\/td>\n2.8 Robust updating of computational models and robust design with uncertain computational models <\/td>\n<\/tr>\n
30<\/td>\n3 Parametric probabilistic approach to uncertainties in computational structural dynamics
3.1 Introduction of the mean computational model in computational structural dynamics <\/td>\n<\/tr>\n
31<\/td>\n3.2 Introduction of the reduced mean computational model <\/td>\n<\/tr>\n
33<\/td>\n3.3 Methodology for the parametric probabilistic approach of modelparameter uncertainties <\/td>\n<\/tr>\n
34<\/td>\n3.4 Construction of the prior probability model of model-parameter uncertainties <\/td>\n<\/tr>\n
35<\/td>\n3.5 Estimation of the parameters of the prior probability model of the uncertain model parameter <\/td>\n<\/tr>\n
36<\/td>\n3.6 Posterior probability model of uncertainties using output-predictionerror method and the Bayesian method <\/td>\n<\/tr>\n
38<\/td>\n4 Nonparametric probabilistic approach to uncertainties in computational structural dynamics
4.1 Methodology to take into account both the model-parameter uncertainties and the model uncertainties (modeling errors) <\/td>\n<\/tr>\n
39<\/td>\n4.2 Construction of the prior probability model of the random matrices <\/td>\n<\/tr>\n
40<\/td>\n4.3 Estimation of the parameters of the prior probability model of uncertainties <\/td>\n<\/tr>\n
41<\/td>\n4.4 Comments about the applications and the validation of the nonparametric probabilistic approach of uncertainties <\/td>\n<\/tr>\n
44<\/td>\n5 Generalized probabilistic approach to uncertainties in computational structural dynamics
5.1 Methodology of the generalized probabilistic approach <\/td>\n<\/tr>\n
46<\/td>\n5.2 Construction of the prior probability model of the random matrices
5.3 Estimation of the parameters of the prior probability model of uncertainties <\/td>\n<\/tr>\n
47<\/td>\n5.4 Posterior probability model of uncertainties using the Bayesian method <\/td>\n<\/tr>\n
50<\/td>\n6 Nonparametric probabilistic approach to uncertainties in structural-acoustic models for the low- and medium-frequency ranges <\/td>\n<\/tr>\n
51<\/td>\n6.1 Reduced mean structural-acoustic model <\/td>\n<\/tr>\n
55<\/td>\n6.2 Stochastic reduced-order model of the computational structuralacoustic model using the nonparametric probabilistic approach of uncertainties <\/td>\n<\/tr>\n
56<\/td>\n6.3 Construction of the prior probability model of uncertainties <\/td>\n<\/tr>\n
58<\/td>\n6.4 Model parameters, stochastic solver and convergence analysis
6.5 Estimation of the parameters of the prior probability model of uncertainties <\/td>\n<\/tr>\n
59<\/td>\n6.6 Comments about the applications and the experimental validation of the nonparametric probabilistic approach of uncertainties in structural acoustics <\/td>\n<\/tr>\n
60<\/td>\n7 Nonparametric probabilistic approach to uncertainties in computational nonlinear structural dynamics <\/td>\n<\/tr>\n
61<\/td>\n7.1 Nonlinear equation for 3D geometrically nonlinear elasticity
7.2 Nonlinear reduced mean model <\/td>\n<\/tr>\n
63<\/td>\n7.3 Algebraic properties of the nonlinear stiffnesses
7.4 Stochastic reduced-order model of the nonlinear dynamical system using the nonparametric probabilistic approach of uncertainties <\/td>\n<\/tr>\n
65<\/td>\n7.5 Comments about the applications of the nonparametric probabilistic approach of uncertainties in computational nonlinear structural dynamics <\/td>\n<\/tr>\n
66<\/td>\n8 Identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data <\/td>\n<\/tr>\n
67<\/td>\n8.1 Definition of the problemto be solved <\/td>\n<\/tr>\n
69<\/td>\n8.2 Construction of a family of prior algebraic probability models (PAPM) for the tensor-valued random field in elasticity theory <\/td>\n<\/tr>\n
79<\/td>\n8.3 Methodology for the identification of a high-dimension polynomial chaos expansion using partial and limited experimental data <\/td>\n<\/tr>\n
85<\/td>\n8.4 Computational aspects for constructing realizations of polynomial chaos in high dimension <\/td>\n<\/tr>\n
87<\/td>\n8.5 Prior probability model of the random VVC <\/td>\n<\/tr>\n
90<\/td>\n8.6 Posterior probability model of the random VVC using the classical Bayesian approach <\/td>\n<\/tr>\n
95<\/td>\n8.7 Posterior probability model of the random VVC using a new approach derived from the Bayesian approach <\/td>\n<\/tr>\n
97<\/td>\n8.8 Comments about the applications concerning the identification of polynomial chaos expansions of random fields using experimental data <\/td>\n<\/tr>\n
98<\/td>\n9 Conclusion <\/td>\n<\/tr>\n
100<\/td>\nReferences <\/td>\n<\/tr>\n
118<\/td>\nIndex
A
B
C <\/td>\n<\/tr>\n
119<\/td>\nD
E <\/td>\n<\/tr>\n
120<\/td>\nF <\/td>\n<\/tr>\n
121<\/td>\nG
H <\/td>\n<\/tr>\n
123<\/td>\nK
L <\/td>\n<\/tr>\n
124<\/td>\nM <\/td>\n<\/tr>\n
125<\/td>\nN <\/td>\n<\/tr>\n
127<\/td>\nO
P <\/td>\n<\/tr>\n
132<\/td>\nR <\/td>\n<\/tr>\n
133<\/td>\nS
T
U <\/td>\n<\/tr>\n
134<\/td>\nV <\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

Stochastic Models of Uncertainties in Computational Mechanics<\/b><\/p>\n\n\n\n\n
Published By<\/td>\nPublication Date<\/td>\nNumber of Pages<\/td>\n<\/tr>\n
ASCE<\/b><\/a><\/td>\n2012<\/td>\n134<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":88547,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[2660],"product_tag":[],"class_list":{"0":"post-88546","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-asce","8":"first","9":"instock","10":"sold-individually","11":"shipping-taxable","12":"purchasable","13":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product\/88546","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media\/88547"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=88546"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=88546"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=88546"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}