{"product_id":"systems-with-hysteresis-9780470032367","title":"Systems with Hysteresis","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eHysterisis is a system property that is fundamental to a range of engineering applications as the components of systems with hysterisis are able to react differently to different forces applied to them. Control theory is used to model these complex systems and cause them to behave in the desired manner; the Bouc-Wen model is a well-known semi-physical model that is used extensively to describe the hysterisis of systems in the areas of smart structures and civil engineering.  \u003cp\u003eThe Bouc-Wen model for system hysterisis has increased in popularity due to its capability of capturing in an analytical form a range of shapes of hysteretic cycles that match the behaviour of a wide class of hysteretic systems. \u003ci\u003eSystems with Hysterisis: Analysis, Identification and Control using the Bouc-Wen Model\u003c\/i\u003e deals with the analysis, identification and control of these systems, and offers a comprehensive and self-contained framework for the study of the Bouc-Wen model.\u003c\/p\u003e \u003cul type=\"disc\"\u003e \u003cli\u003eIncludes\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cb\u003ePreface.\u003c\/b\u003e  \u003cp\u003e\u003cb\u003eList of Figures.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eList of Tables.   \u003c\/b\u003e                                                                                        \u003c\/p\u003e \u003cp\u003e\u003cb\u003e1. Introduction           \u003c\/b\u003e                                                           \u003c\/p\u003e \u003cp\u003e1.1 Objective and contents of the book\u003c\/p\u003e \u003cp\u003e1.2 The Bouc-Wen model: origin and literature review\u003c\/p\u003e \u003cp\u003e2. \u003cb\u003ePhysical consistency of the Bouc-Wen model\u003c\/b\u003e          \u003c\/p\u003e \u003cp\u003e2.1 Introduction \u003c\/p\u003e \u003cp\u003e2.2 BIBO stability of the Bouc-Wen model\u003c\/p\u003e \u003cp\u003e2.2.1 The model\u003c\/p\u003e \u003cp\u003e2.2.2 Problem statement\u003c\/p\u003e \u003cp\u003e2.2.3 Classi¯cation of the BIBO stable Bouc-Wen models      \u003c\/p\u003e \u003cp\u003e2.2.4 Practical remarks\u003c\/p\u003e \u003cp\u003e2.3 Free motion of a hysteretic structural system\u003c\/p\u003e \u003cp\u003e2.3.1 Problem statement\u003c\/p\u003e \u003cp\u003e2.3.2 Asymptotic trajectories\u003c\/p\u003e \u003cp\u003e2.3.3 Practical remarks\u003c\/p\u003e \u003cp\u003e2.4 Passivity of the Bouc-Wen model\u003c\/p\u003e \u003cp\u003e2.5 Limit cases\u003c\/p\u003e \u003cp\u003e2.5.1 The limit case \u003ci\u003en\u003c\/i\u003e = 1\u003c\/p\u003e \u003cp\u003e2.5.2 The limit case \u003ci\u003e®\u003c\/i\u003e = 1\u003c\/p\u003e \u003cp\u003e2.5.3 The limit case \u003ci\u003e®\u003c\/i\u003e = 0\u003c\/p\u003e \u003cp\u003e2.5.4 The limit case \u003ci\u003e¯\u003c\/i\u003e + \u003ci\u003e°\u003c\/i\u003e = 0\u003c\/p\u003e \u003cp\u003e2.6 Conclusion\u003c\/p\u003e \u003cp\u003e3 \u003cb\u003eForced limit cycle characterization of the Bouc-Wen model\u003c\/b\u003e            \u003c\/p\u003e \u003cp\u003e3.1 Introduction \u003c\/p\u003e \u003cp\u003e3.2 Problem statement\u003c\/p\u003e \u003cp\u003e3.2.1 The class of inputs\u003c\/p\u003e \u003cp\u003e3.2.2 Problem statement\u003c\/p\u003e \u003cp\u003e3.3 The normalized Bouc-Wen model\u003c\/p\u003e \u003cp\u003e3.4 Instrumental functions\u003c\/p\u003e \u003cp\u003e3.5 Characterization of the asymptotic behavior of the hysteretic\u003c\/p\u003e \u003cp\u003eoutput\u003c\/p\u003e \u003cp\u003e3.5.1 Technical Lemmas\u003c\/p\u003e \u003cp\u003e3.5.2 Analytic description of the forced limit cycles for the\u003c\/p\u003e \u003cp\u003eBouc-Wen model\u003c\/p\u003e \u003cp\u003e3.6 Simulation example\u003c\/p\u003e \u003cp\u003e3.7 Conclusion \u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Variation of the hysteresis loop with the Bouc-Wen model\u003c\/b\u003e \u003cb\u003eparameters                                                                                       \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction\u003c\/p\u003e \u003cp\u003e4.2 Background results and methodology of the analysis\u003c\/p\u003e \u003cp\u003e4.2.1 Background results\u003c\/p\u003e \u003cp\u003e4.2.2 Methodology of the analysis\u003c\/p\u003e \u003cp\u003e4.3 Maximal value of the hysteretic output\u003c\/p\u003e \u003cp\u003e4.3.1 Variation with respect to \u003ci\u003e±\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.3.2 Variation with respect to \u003ci\u003e¾\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.3.3 Variation with respect to \u003ci\u003en\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.3.4 Summary of the obtained results\u003c\/p\u003e \u003cp\u003e4.4 Variation of the zero of the hysteretic output\u003c\/p\u003e \u003cp\u003e4.4.1 Variation with respect to \u003ci\u003e±\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.4.2 Variation with respect to \u003ci\u003e¾\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.4.3 Variation with respect to \u003ci\u003en\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.4.4 Summary of the obtained results\u003c\/p\u003e \u003cp\u003e4.5 Variation of the hysteretic output with the Bouc-Wen model\u003c\/p\u003e \u003cp\u003eparameters\u003c\/p\u003e \u003cp\u003e4.5.1 Variation with respect to \u003ci\u003e±\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.5.2 Variation with respect to \u003ci\u003e¾\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.5.3 Variation with respect to \u003ci\u003en\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.5.4 Summary of the obtained results\u003c\/p\u003e \u003cp\u003e4.6 The four regions of the Bouc-Wen model\u003c\/p\u003e \u003cp\u003e4.6.1 The linear region \u003ci\u003eR\u003c\/i\u003e\u003ci\u003el\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.6.2 The plastic region \u003ci\u003eR\u003c\/i\u003e\u003ci\u003ep\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.6.3 The transition regions \u003ci\u003eR\u003c\/i\u003e\u003ci\u003et\u003c\/i\u003e and \u003ci\u003eR\u003c\/i\u003e\u003ci\u003es\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.7 Interpretation of the normalized Bouc-Wen model parameters       \u003c\/p\u003e \u003cp\u003e4.7.1 The parameters \u003ci\u003e½\u003c\/i\u003e and \u003ci\u003e±\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.7.2 The parameter \u003ci\u003e¾\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.7.3 The parameter \u003ci\u003en\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.8 Conclusion\u003c\/p\u003e \u003cp\u003e5 \u003cb\u003eRobust identification of the Bouc-Wen model parameters\u003c\/b\u003e          \u003c\/p\u003e \u003cp\u003e5.1 Introduction\u003c\/p\u003e \u003cp\u003e5.2 Parameter identi¯cation for the Bouc-Wen\u003c\/p\u003e \u003cp\u003emodel\u003c\/p\u003e \u003cp\u003e5.2.1 Class of inputs\u003c\/p\u003e \u003cp\u003e5.2.2 Identi¯cation methodology\u003c\/p\u003e \u003cp\u003e5.2.3 Robustness of the identi¯cation method \u003c\/p\u003e \u003cp\u003e5.2.4 Numerical simulation example\u003c\/p\u003e \u003cp\u003e5.3 Modeling and identi¯cation of a magnetorheological damper     \u003c\/p\u003e \u003cp\u003e5.3.1 Some insights into the viscous + Bouc-Wen model for\u003c\/p\u003e \u003cp\u003eshear mode MR dampers\u003c\/p\u003e \u003cp\u003e5.3.2 Alternatives to the viscous + Bouc-Wen model for\u003c\/p\u003e \u003cp\u003eshear mode MR dampers\u003c\/p\u003e \u003cp\u003e5.4 Identi¯cation methodology for the viscous + Dahl model . .          \u003c\/p\u003e \u003cp\u003e5.4.1 Numerical simulations \u003c\/p\u003e \u003cp\u003e5.5 Conclusion\u003c\/p\u003e \u003cp\u003e6 \u003cb\u003eControl of a system with a Bouc-Wen hysteresis         \u003c\/b\u003e        \u003c\/p\u003e \u003cp\u003e6.1 Introduction and problem statement\u003c\/p\u003e \u003cp\u003e6.2 Control design and stability analysis\u003c\/p\u003e \u003cp\u003e6.3 Numerical simulation\u003c\/p\u003e \u003cp\u003e6.4 Conclusion \u003c\/p\u003e \u003cp\u003eA Mathematical background                                                              \u003c\/p\u003e \u003cp\u003eA.1 Existence and uniqueness of solutions\u003c\/p\u003e \u003cp\u003eA.2 Concepts of stability\u003c\/p\u003e \u003cp\u003eA.3 Passivity and absolute stability\u003c\/p\u003e \u003cp\u003eA.3.1 Passivity in mechanical systems\u003c\/p\u003e \u003cp\u003eA.3.2 Positive realness\u003c\/p\u003e \u003cp\u003eA.3.3 Sector functions\u003c\/p\u003e \u003cp\u003eA.3.4 Absolute stability\u003c\/p\u003e \u003cp\u003eA.4 Input-output properties\u003c\/p\u003e \u003cp\u003eReferences.\u003c\/p\u003e \u003cp\u003eIndex.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402266943831,"sku":"9780470032367","price":106.35,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780470032367.jpg?v=1730479891","url":"https:\/\/bookcurl.com\/products\/systems-with-hysteresis-9780470032367","provider":"Book Curl","version":"1.0","type":"link"}