{"product_id":"stochastic-dynamics-of-structures-hardback-9781848219496","title":"Stochastic Dynamics of Structures (Hardback) 9781848219496","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eStochastic Dynamics of Structures\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eAbdelkhalak El Hami (Author), Bouchaib Radi (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781848219496, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 13 December 2016\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e350 pages\u003cbr\u003e23.6 x 16.3 x 2.3 cm, 0.612 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\u003eThis book is dedicated to the general study of the dynamics of mechanical structures with consideration of uncertainties. The goal is to get the appropriate forms of a part in minimizing a given criterion. In all fields of structural mechanics, the impact of good design of a room is very important to its strength, its life and its use in service. The development of the engineer's art requires considerable effort to constantly improve structural design techniques.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface  xi \u003cp\u003e\u003cb\u003eChapter 1. Introduction to Structural Dynamics  1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1. Composition of problems relating to dynamic structures 2\u003c\/p\u003e \u003cp\u003e1.1.1. Finite element method  4\u003c\/p\u003e \u003cp\u003e1.1.2. Modal superposition method 5\u003c\/p\u003e \u003cp\u003e1.1.3. Direct integration 6\u003c\/p\u003e \u003cp\u003e1.2. Structural optimization  8\u003c\/p\u003e \u003cp\u003e1.2.1. Design optimization 9\u003c\/p\u003e \u003cp\u003e1.2.2. Shape optimization  9\u003c\/p\u003e \u003cp\u003e1.2.3. Topological optimization 10\u003c\/p\u003e \u003cp\u003e1.2.4. Definitions and formulation of an optimization problem  12\u003c\/p\u003e \u003cp\u003e1.3. Structures with uncertain parameters 13\u003c\/p\u003e \u003cp\u003e1.3.1. Monte Carlo simulation 14\u003c\/p\u003e \u003cp\u003e1.3.2. Analytic method  15\u003c\/p\u003e \u003cp\u003e1.3.3. Stochastic finite element method  15\u003c\/p\u003e \u003cp\u003e1.3.4. Fluid logic method  16\u003c\/p\u003e \u003cp\u003e1.3.5. Reliability method  17\u003c\/p\u003e \u003cp\u003e1.3.6. Reliability optimization 21\u003c\/p\u003e \u003cp\u003e1.4. Conclusion 23\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2. Decoupled Systems 25\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1. Introduction  25\u003c\/p\u003e \u003cp\u003e2.2. Problems with structural dynamics  25\u003c\/p\u003e \u003cp\u003e2.2.1. Movement equation  25\u003c\/p\u003e \u003cp\u003e2.2.2. Hooke’s law  26\u003c\/p\u003e \u003cp\u003e2.2.3. Variational formulation  27\u003c\/p\u003e \u003cp\u003e2.2.4. Estimation by finite elements  27\u003c\/p\u003e \u003cp\u003e2.2.5. Resolution in the frequency domain 28\u003c\/p\u003e \u003cp\u003e2.2.6. Solution in the temporal domain 29\u003c\/p\u003e \u003cp\u003e2.2.7. Reduction of the model  31\u003c\/p\u003e \u003cp\u003e2.3. Acoustic problems 42\u003c\/p\u003e \u003cp\u003e2.3.1. Wave equation: formulation pressure  42\u003c\/p\u003e \u003cp\u003e2.3.2. Variational formulation  43\u003c\/p\u003e \u003cp\u003e2.3.3. Estimation by finite elements  43\u003c\/p\u003e \u003cp\u003e2.3.4. Solution in the frequency domain  44\u003c\/p\u003e \u003cp\u003e2.3.5. Model fluid reduction 45\u003c\/p\u003e \u003cp\u003e2.4. Conclusion 55\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3. Coupled Systems  57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1. Introduction  57\u003c\/p\u003e \u003cp\u003e3.2. Mathematical formulation 57\u003c\/p\u003e \u003cp\u003e3.2.1. Behavior equations  57\u003c\/p\u003e \u003cp\u003e3.2.2. Conditions for fluid–structure coupling 58\u003c\/p\u003e \u003cp\u003e3.3. Variational formulation  59\u003c\/p\u003e \u003cp\u003e3.4. Estimation by finite elements 59\u003c\/p\u003e \u003cp\u003e3.4.1. Estimation of unknown physical values 59\u003c\/p\u003e \u003cp\u003e3.4.2. Integration of variational forms 60\u003c\/p\u003e \u003cp\u003e3.5. Vibro-acoustic problem  60\u003c\/p\u003e \u003cp\u003e3.6. Hydro-elastic problem 61\u003c\/p\u003e \u003cp\u003e3.6.1. Calculation of the elementary matrix of the fluid–structure interaction  64\u003c\/p\u003e \u003cp\u003e3.6.2. Dynamic study  65\u003c\/p\u003e \u003cp\u003e3.7. Reduction of the model  67\u003c\/p\u003e \u003cp\u003e3.7.1. Modal superposition method for the paired system 67\u003c\/p\u003e \u003cp\u003e3.7.2. Direct calculation 71\u003c\/p\u003e \u003cp\u003e3.7.3. Calculation with modal reduction  72\u003c\/p\u003e \u003cp\u003e3.7.4. Modal synthesis method for paired systems  74\u003c\/p\u003e \u003cp\u003e3.7.5. Direct numerical calculation 81\u003c\/p\u003e \u003cp\u003e3.7.6. Numerical calculation with modal superposition  83\u003c\/p\u003e \u003cp\u003e3.8. Conclusion 84\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4. Reliability and Meshless Methods in Mechanics  85\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1. Introduction to non-networking methods  85\u003c\/p\u003e \u003cp\u003e4.2. Moving least squares 88\u003c\/p\u003e \u003cp\u003e4.2.1. Properties of MLS form function  94\u003c\/p\u003e \u003cp\u003e4.2.2. Base functions 95\u003c\/p\u003e \u003cp\u003e4.2.3. Weight functions 96\u003c\/p\u003e \u003cp\u003e4.3. Galerkin mesh-free method  98\u003c\/p\u003e \u003cp\u003e4.4. Imposition of essential limiting conditions 103\u003c\/p\u003e \u003cp\u003e4.4.1. Variational principle modified with Lagrange multipliers 103\u003c\/p\u003e \u003cp\u003e4.4.2. Variational principle modified without Lagrange multipliers 104\u003c\/p\u003e \u003cp\u003e4.4.3. Variational principle with a charge 105\u003c\/p\u003e \u003cp\u003e4.4.4. Connection with meshing of finite elements  106\u003c\/p\u003e \u003cp\u003e4.5. Integration in the EFG method  107\u003c\/p\u003e \u003cp\u003e4.6. Description of EFG method algorithms 109\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5. Mechanical Systems with Uncertain Parameters 115\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1. Introduction  115\u003c\/p\u003e \u003cp\u003e5.2. Monte Carlo simulation  116\u003c\/p\u003e \u003cp\u003e5.3. Disturbance methods 116\u003c\/p\u003e \u003cp\u003e5.3.1. Expansion into a second-order Taylor series  118\u003c\/p\u003e \u003cp\u003e5.3.2. Muscolino distortion method  124\u003c\/p\u003e \u003cp\u003e5.3.3. Disturbance methods and modal reduction methods  127\u003c\/p\u003e \u003cp\u003e5.4. Projection onto polynomial chaos  131\u003c\/p\u003e \u003cp\u003e5.4.1. Moments of the response function in frequency 134\u003c\/p\u003e \u003cp\u003e5.4.2. Moments of dynamic response 135\u003c\/p\u003e \u003cp\u003e5.4.3. Projection onto polynomial chaos with modal reduction  137\u003c\/p\u003e \u003cp\u003e5.5. Conclusion 149\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6. Modal Synthesis Methods and Stochastic Finite Element Methods  151\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1. Introduction  151\u003c\/p\u003e \u003cp\u003e6.2. Linear dynamic problems 152\u003c\/p\u003e \u003cp\u003e6.2.1. Equations of motion 152\u003c\/p\u003e \u003cp\u003e6.2.2. Solutions in the transient regime 153\u003c\/p\u003e \u003cp\u003e6.2.3. Solutions in the harmonic regime  154\u003c\/p\u003e \u003cp\u003e6.3. Modal synthesis methods 155\u003c\/p\u003e \u003cp\u003e6.3.1. Introduction  155\u003c\/p\u003e \u003cp\u003e6.3.2. Sub-structure assembly technique  157\u003c\/p\u003e \u003cp\u003e6.3.3. Fixed interface method  158\u003c\/p\u003e \u003cp\u003e6.3.4. MacNeal’s free interface method  161\u003c\/p\u003e \u003cp\u003e6.3.5. Free interface method 163\u003c\/p\u003e \u003cp\u003e6.3.6. Hybrid method  166\u003c\/p\u003e \u003cp\u003e6.3.7. Reduction in degrees of freedom of the interface 166\u003c\/p\u003e \u003cp\u003e6.4. Stochastic finite element methods  168\u003c\/p\u003e \u003cp\u003e6.4.1. Introduction  168\u003c\/p\u003e \u003cp\u003e6.4.2. Discretization of random fields 169\u003c\/p\u003e \u003cp\u003e6.4.3. Methods of moments 171\u003c\/p\u003e \u003cp\u003e6.5. Conclusion 179\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7. Stochastic Modal Synthesis Methods  181\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1. Introduction  181\u003c\/p\u003e \u003cp\u003e7.2. Taylor series expansion of the modal equations of a stochastic structure 181\u003c\/p\u003e \u003cp\u003e7.2.1. Expression of the mean values and covariances  184\u003c\/p\u003e \u003cp\u003e7.3. Muscolino perturbation method 184\u003c\/p\u003e \u003cp\u003e7.3.1. Expansion of the modal equations of a stochastic structure 185\u003c\/p\u003e \u003cp\u003e7.4. Stochastic fixed interface method  186\u003c\/p\u003e \u003cp\u003e7.4.1. Taylor series expansion  186\u003c\/p\u003e \u003cp\u003e7.5. Stochastic modal synthesis method 191\u003c\/p\u003e \u003cp\u003e7.5.1. Introduction  191\u003c\/p\u003e \u003cp\u003e7.6. Conclusion 236\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8. Dynamic Response of a Structure with Uncertain Variables to a Given Excitation 237\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1. Introduction  237\u003c\/p\u003e \u003cp\u003e8.2. Perturbation method  238\u003c\/p\u003e \u003cp\u003e8.2.1. Taylor series expansion of the equations of motion 238\u003c\/p\u003e \u003cp\u003e8.2.2. Muscolino perturbation method 241\u003c\/p\u003e \u003cp\u003e8.3. Stochastic modal synthesis method 242\u003c\/p\u003e \u003cp\u003e8.4. Projection onto homogeneous chaos 245\u003c\/p\u003e \u003cp\u003e8.5. Coupling modal synthesis methods with projection onto homogeneous chaos 248\u003c\/p\u003e \u003cp\u003e8.6. Conclusion 264\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9. Stochastic Frequency Response Function  265\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1. Introduction  265\u003c\/p\u003e \u003cp\u003e9.2. Calculation of the stochastic frequency response function 266\u003c\/p\u003e \u003cp\u003e9.3. Calculation of the stochastic frequency response function with modal synthesis methods  270\u003c\/p\u003e \u003cp\u003e9.4. Conclusion 281\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10. Modal Synthesis Methods and Reliability Optimization Methods  283\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1. Introduction  283\u003c\/p\u003e \u003cp\u003e10.2. Combining modal synthesis and RBDO methods 283\u003c\/p\u003e \u003cp\u003e10.3. Conclusion  294\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11. Stochastic Model of Transmission in a Wind Turbine  295\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1. Introduction  295\u003c\/p\u003e \u003cp\u003e11.2. Modeling the dynamic behavior of the gearing system in a wind turbine 295\u003c\/p\u003e \u003cp\u003e11.3. Dynamic response of a two-step gear system in a wind turbine with uncertain variables  296\u003c\/p\u003e \u003cp\u003e11.3.1. Dynamic model of a two-step wind turbine transmission  296\u003c\/p\u003e \u003cp\u003e11.3.2. Study using the polynomial chaos method  299\u003c\/p\u003e \u003cp\u003e11.3.3. Perturbation method study 309\u003c\/p\u003e \u003cp\u003e11.3.4. Comparison of the different methods 315\u003c\/p\u003e \u003cp\u003e11.4. Conclusion  317\u003c\/p\u003e \u003cp\u003eBibliography 319\u003c\/p\u003e \u003cp\u003eIndex 327\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Civil engineering, surveying \u0026amp; building [\u003ca title=\"See our other books on Civil engineering, surveying \u0026amp; building\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Civil%20engineering,%20surveying%20\u0026amp;%20building%20%5BTN%5D%22\"\u003eTN\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-ISTE","offers":[{"title":"Brand New","offer_id":52449406157080,"sku":"9781848219496","price":100.57,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781848219496.jpg?v=1785198349","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/stochastic-dynamics-of-structures-hardback-9781848219496","provider":"Freshly Printed Books","version":"1.0","type":"link"}