{"product_id":"stochastic-structural-dynamics-application-of-finite-element-methods-hardback-9781118342350","title":"Stochastic Structural Dynamics; Application of Finite Element Methods (Hardback) 9781118342350","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eStochastic Structural Dynamics\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eApplication of Finite Element Methods\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eCho W. S. To (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781118342350, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 6 December 2013\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e350 pages\u003cbr\u003e25 x 17.5 x 1.9 cm, 0.758 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eOne of the first books to provide in-depth and systematic application of finite element methods to the field of stochastic structural dynamics\u003c\/p\u003e \u003cp\u003eThe parallel developments of the Finite Element Methods in the 1950’s and the engineering applications of stochastic processes in the 1940’s provided a combined numerical analysis tool for the studies of dynamics of structures and structural systems under random loadings. In the open literature, there are books on statistical dynamics of structures and books on structural dynamics with chapters dealing with random response analysis. However, a systematic treatment of stochastic structural dynamics applying the finite element methods seems to be lacking. Aimed at advanced and specialist levels, the author presents and illustrates analytical and direct integration methods for analyzing the statistics of the response of structures to stochastic loads. The analysis methods are based on structural models represented via the Finite Element Method. In addition to linear problems the text also addresses nonlinear problems and non-stationary random excitation with systems having large spatially stochastic property variations.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eA systematic treatment of stochastic structural dynamics applying the finite element methods\u003c\/li\u003e \u003cli\u003eHighly illustrated throughout and aimed at advanced and specialist levels, it focuses on computational aspects instead of theory\u003c\/li\u003e \u003cli\u003eEmphasizes results mainly in the time domain with limited contents in the time-frequency domain\u003c\/li\u003e \u003cli\u003ePresents and illustrates direction integration methods for analyzing the statistics of the response of linear and nonlinear structures to stochastic loads\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eUnder Author Information - one change of word to existing text: He is a Fellow of the American Society of Mechanical Engineers (ASME)........\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eDedication xi\u003c\/p\u003e \u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003eAcknowledgements xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1. Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Displacement Formulation Based Finite Element Method 2\u003c\/p\u003e \u003cp\u003e1.2 Element Equations of Motion for Temporally and Spatially Stochastic Systems 13\u003c\/p\u003e \u003cp\u003e1.3 Hybrid Stress Based Element Equations of Motion 14\u003c\/p\u003e \u003cp\u003e1.4 Incremental Variational Principle and Mixed Formulation Based Nonlinear Element Matrices 18\u003c\/p\u003e \u003cp\u003e1.5 Constitutive Relations and Updating of Configurations and Stresses 36\u003c\/p\u003e \u003cp\u003e1.6 Concluding Remarks 48\u003c\/p\u003e \u003cp\u003eReferences 49\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. Spectral Analysis and Response Statistics of Linear Structural Systems 53\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Spectral Analysis 53\u003c\/p\u003e \u003cp\u003e2.2 Evolutionary Spectral Analysis 56\u003c\/p\u003e \u003cp\u003e2.3 Evolutionary Spectra of Engineering Structures 60\u003c\/p\u003e \u003cp\u003e2.4 Modal Analysis and Time-Dependent Response Statistics 76\u003c\/p\u003e \u003cp\u003e2.5 Response Statistics of Engineering Structures 79\u003c\/p\u003e \u003cp\u003eReferences 94\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3. Direct Integration Methods for Linear Structural Systems 97\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Stochastic Central Difference Method 97\u003c\/p\u003e \u003cp\u003e3.2 Stochastic Central Difference Method with Time Co-ordinate Transformation 100\u003c\/p\u003e \u003cp\u003e3.3 Applications 102\u003c\/p\u003e \u003cp\u003e3.4 Extended Stochastic Central Difference Method and Narrow-band Force Vector 114\u003c\/p\u003e \u003cp\u003e3.5 Stochastic Newmark Family of Algorithms 122\u003c\/p\u003e \u003cp\u003eReferences 128\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4. Modal Analysis and Response Statistics of Quasi-linear Structural Systems 131\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Modal Analysis of Temporally Stochastic Quasi-linear Systems 131\u003c\/p\u003e \u003cp\u003e4.2 Response Analysis Based on Melosh-Zienkiewicz-Cheung Bending Plate Finite Element 141\u003c\/p\u003e \u003cp\u003e4.3 Response Analysis Based on High Precision Triangular Plate Finite Element 156\u003c\/p\u003e \u003cp\u003e4.4 Concluding Remarks 166\u003c\/p\u003e \u003cp\u003eReferences 166\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5. Direct Integration Methods for Response Statistics of Quasi-linear Structural Systems 169\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Stochastic Central Difference Method for Quasi-linear Structural Systems 169\u003c\/p\u003e \u003cp\u003e5.2 Recursive Covariance Matrix of Displacements of Cantilever Pipe Containing Turbulent Fluid 174\u003c\/p\u003e \u003cp\u003e5.3 Quasi-linear Systems under Narrow-band Random Excitations 184\u003c\/p\u003e \u003cp\u003e5.4 Concluding Remarks 188\u003c\/p\u003e \u003cp\u003eReferences 190\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6. Direct Integration Methods for Temporally Stochastic Nonlinear Structural Systems 191\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Statistical Linearization Techniques 191\u003c\/p\u003e \u003cp\u003e6.2 Symplectic Algorithms of Newmark Family of Integration Schemes 194\u003c\/p\u003e \u003cp\u003e6.3 Stochastic Central Difference Method with Time Co-ordinate Transformation and Adaptive Time Schemes 199\u003c\/p\u003e \u003cp\u003e6.4 Outline of steps in computer program 211\u003c\/p\u003e \u003cp\u003e6.5 Large Deformations of Plate and Shell Structures 213\u003c\/p\u003e \u003cp\u003e6.6 Concluding Remarks 224\u003c\/p\u003e \u003cp\u003eReferences 226\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7. Direct Integration Methods for Temporally and Spatially Stochastic Nonlinear Structural Systems 231\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Perturbation Approximation Techniques and Stochastic Finite Element Methods 232\u003c\/p\u003e \u003cp\u003e7.2 Stochastic Central Difference Methods for Temporally and Spatially Stochastic Nonlinear Systems 241\u003c\/p\u003e \u003cp\u003e7.3 Finite Deformations of Spherical Shells with Large Spatially Stochastic Parameters 251\u003c\/p\u003e \u003cp\u003e7.4 Closing Remarks 255\u003c\/p\u003e \u003cp\u003eReferences 257\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendices\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1A Mass and Stiffness Matrices of Higher Order Tapered Beam Element 261\u003c\/p\u003e \u003cp\u003e1B Consistent Stiffness Matrix of Lower Order Triangular Shell Element 267\u003c\/p\u003e \u003cp\u003e1B.1 Inverse of Element Generalized Stiffness Matrix 267\u003c\/p\u003e \u003cp\u003e1B.2 Element Leverage Matrices 268\u003c\/p\u003e \u003cp\u003e1B.3 Element Component Stiffness Matrix Associated with Torsion 271\u003c\/p\u003e \u003cp\u003e\u003cb\u003eReferences 276\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1C Consistent Mass Matrix of Lower Order Triangular Shell Element 277\u003c\/p\u003e \u003cp\u003e\u003cb\u003eReference 280\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2A Eigenvalue Solution 281\u003c\/p\u003e \u003cp\u003e\u003cb\u003eReferences 282\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2B Derivation of Evolutionary Spectral Densities and Variances of Displacements 283\u003c\/p\u003e \u003cp\u003e2B.1 Evolutionary Spectral Densities Due to Exponentially Decaying Random Excitations 283\u003c\/p\u003e \u003cp\u003e2B.2 Evolutionary Spectral Densities Due to Uniformly Modulated Random Excitations 286\u003c\/p\u003e \u003cp\u003e2B.3 Variances of Displacements 288\u003c\/p\u003e \u003cp\u003e\u003cb\u003eReferences 297\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2C Time-dependent Covariances of Displacements 299\u003c\/p\u003e \u003cp\u003e2D Covariances of Displacements and Velocities 311\u003c\/p\u003e \u003cp\u003e2E Time-dependent Covariances of Velocities 317\u003c\/p\u003e \u003cp\u003e2F Cylindrical Shell Element Matrices 323\u003c\/p\u003e \u003cp\u003e3A Deterministic Newmark Family of Algorithms 327\u003c\/p\u003e \u003cp\u003e\u003cb\u003eReference 331\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndex 333\u003c\/b\u003e\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52417766457624,"sku":"9781118342350","price":90.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781118342350.jpg?v=1784507600","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/stochastic-structural-dynamics-application-of-finite-element-methods-hardback-9781118342350","provider":"Freshly Printed Books","version":"1.0","type":"link"}