{"product_id":"thermohydrodynamic-instability-in-fluidfilm-bearings-9780470057216","title":"Thermohydrodynamic Instability in FluidFilm","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003eThermohydrodynamic Instability in Fluid-Film Bearings\u003c\/i\u003e aims to establish instability criteria for a rotor-bearing system associated with fluid-film journal bearings.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eIt focuses on how the influencing factors such as rotor flexibility, manufacturing imperfections such as residual shaft unbalance, and service-related imperfections such as uneven wear affect the stability of a rotor-bearing system\u003c\/li\u003e \u003cli\u003eIt shows how the specific operating conditions such as oil inlet temperature, inlet pressure, and inlet position of a rotor-bearing system directly influence the system stability\u003c\/li\u003e \u003cli\u003eGeneral design guidelines have been summarized to guide the engineering system design and the correction of failure and\/or malfunction\u003c\/li\u003e \u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003eAcknowledgements xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Fundamentals of Hydrodynamic Bearings 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Reynolds Equation 3\u003c\/p\u003e \u003cp\u003e1.1.1 Boundary Conditions for Reynolds Equation 6\u003c\/p\u003e \u003cp\u003e1.1.2 Short Bearing Approximation 7\u003c\/p\u003e \u003cp\u003e1.1.3 Long Bearing Approximation 7\u003c\/p\u003e \u003cp\u003e1.2 Short Bearing Theory 8\u003c\/p\u003e \u003cp\u003e1.2.1 Analytical Pressure Distribution 8\u003c\/p\u003e \u003cp\u003e1.2.2 Hydrodynamic Fluid Force 9\u003c\/p\u003e \u003cp\u003e1.2.3 Static Performance of Short Journal Bearings 11\u003c\/p\u003e \u003cp\u003e1.3 Long Bearing Theory 13\u003c\/p\u003e \u003cp\u003e1.3.1 Analytical Pressure Distribution of Long Journal Bearings 13\u003c\/p\u003e \u003cp\u003e1.3.2 Hydrodynamic Fluid Force of Long Journal Bearings 17\u003c\/p\u003e \u003cp\u003e1.3.3 Static Performance of Long Journal Bearings 19\u003c\/p\u003e \u003cp\u003e1.4 Finite Bearing Solution 26\u003c\/p\u003e \u003cp\u003eReferences 28\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Governing Equations for Dynamic Analysis 29\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Equation of Motion 29\u003c\/p\u003e \u003cp\u003e2.2 Decomposition of the Equations of Motion Based on Short Bearing Theory 31\u003c\/p\u003e \u003cp\u003e2.2.1 Laminar Flow Simplification 33\u003c\/p\u003e \u003cp\u003e2.3 Decomposition of the Equations of Motion Based on Long Bearing Theory 34\u003c\/p\u003e \u003cp\u003e2.4 Summary 37\u003c\/p\u003e \u003cp\u003eReferences 37\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Conventional Methods on System Instability Analysis 39\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Linearized Stiffness and Damping Method 41\u003c\/p\u003e \u003cp\u003e3.1.1 Derivation of Linearized Bearing Stiffness and Damping Coefficients 41\u003c\/p\u003e \u003cp\u003e3.1.2 Instability Threshold Speed Based on the Linearized Stiffness and Damping Coefficients 48\u003c\/p\u003e \u003cp\u003e3.2 Nonlinear Method 51\u003c\/p\u003e \u003cp\u003e3.2.1 Brief Description of Trial-and-Error Method 51\u003c\/p\u003e \u003cp\u003e3.2.2 Illustration of the Trial-and-Error Method 51\u003c\/p\u003e \u003cp\u003e3.2.3 Comparison Between Different Types of Fluid-Film Boundary Conditions 54\u003c\/p\u003e \u003cp\u003eReferences 56\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Introduction to Hopf Bifurcation Theory 59\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Brief Description of Hopf Bifurcation Theory 60\u003c\/p\u003e \u003cp\u003e4.2 Shape and Size and Stability of Periodic Solutions 61\u003c\/p\u003e \u003cp\u003e4.3 Definition of Orbital-Asymptotically Stable with an Asymptotic Phase 62\u003c\/p\u003e \u003cp\u003eReferences 62\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Application of HBT to Fluid-Film Bearings 63\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Application I: Prediction of Stability Envelope 64\u003c\/p\u003e \u003cp\u003e5.1.1 Definition of Stability Envelope 64\u003c\/p\u003e \u003cp\u003e5.1.2 Equations of Motion 66\u003c\/p\u003e \u003cp\u003e5.1.3 Application of Hopf Bifurcation Theory to the Equations of Motion 67\u003c\/p\u003e \u003cp\u003e5.1.4 Numerical Investigation of the Stability Envelope Rs 69\u003c\/p\u003e \u003cp\u003e5.1.5 Illustrative Case Study 70\u003c\/p\u003e \u003cp\u003e5.2 Application II: Explanation of Hysteresis Phenomenon Associated with Instability 74\u003c\/p\u003e \u003cp\u003e5.2.1 Introduction 74\u003c\/p\u003e \u003cp\u003e5.2.2 Definition of Hysteresis Phenomenon Associated with Instability 75\u003c\/p\u003e \u003cp\u003e5.2.3 Experimental Investigation 77\u003c\/p\u003e \u003cp\u003e5.2.4 Relationship between Hysteresis Phenomenon and Subcritical Bifurcation 81\u003c\/p\u003e \u003cp\u003e5.2.5 Case Studies 83\u003c\/p\u003e \u003cp\u003eReferences 88\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Analysis of Thermohydrodynamic Instability 91\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Inlet Temperature Effects 91\u003c\/p\u003e \u003cp\u003e6.1.1 Theoretical Prediction 92\u003c\/p\u003e \u003cp\u003e6.1.2 Experimental Studies 97\u003c\/p\u003e \u003cp\u003e6.1.3 Explanation of Newkirk and Lewis’s Experimental Results 104\u003c\/p\u003e \u003cp\u003e6.1.4 Design Guidelines for Improving System Stability Based on Oil Supply Temperature 104\u003c\/p\u003e \u003cp\u003e6.2 Effects of Inlet Pressure and Inlet Position 105\u003c\/p\u003e \u003cp\u003e6.2.1 Equations of Motion with Consideration of Inlet Pressure and Position Effects 106\u003c\/p\u003e \u003cp\u003e6.2.2 Influence of Oil Inlet Pressure on the Instability Threshold Speed 108\u003c\/p\u003e \u003cp\u003e6.2.3 Influence of Oil Inlet Position on the Instability Threshold Speed 110\u003c\/p\u003e \u003cp\u003e6.2.4 Design Guidelines on Inlet Pressure and Inlet Position 111\u003c\/p\u003e \u003cp\u003e6.3 Rotor Stiffness Effects 112\u003c\/p\u003e \u003cp\u003e6.3.1 Equations of Motion of a Flexible Rotor 113\u003c\/p\u003e \u003cp\u003e6.3.2 Effects of Rotor Flexibility 117\u003c\/p\u003e \u003cp\u003e6.3.3 Comparison with the Results Based on Rigid-Rotor Model 120\u003c\/p\u003e \u003cp\u003e6.3.4 Experimental Verification 121\u003c\/p\u003e \u003cp\u003e6.3.5 Application Examples 122\u003c\/p\u003e \u003cp\u003e6.3.6 Design Guidelines on Rotor Stiffness 128\u003c\/p\u003e \u003cp\u003e6.4 Worn Bearing Bushing Effects 129\u003c\/p\u003e \u003cp\u003e6.4.1 Wear Profile Model 129\u003c\/p\u003e \u003cp\u003e6.4.2 Dynamic Pressure Distribution in Worn Journal Bearing 132\u003c\/p\u003e \u003cp\u003e6.4.3 Hydrodynamic Fluid Force in Worn Journal Bearing 133\u003c\/p\u003e \u003cp\u003e6.4.4 Example Showing the Worn Bearing Bushing Profile and Its Pressure Profile 135\u003c\/p\u003e \u003cp\u003e6.4.5 Bearing Bushing Wear Effect on System Stability 136\u003c\/p\u003e \u003cp\u003e6.5 Shaft Unbalance Effects 139\u003c\/p\u003e \u003cp\u003e6.5.1 Equation of Motion with Shaft Unbalance 140\u003c\/p\u003e \u003cp\u003e6.5.2 Decomposition of the Equations of Motion with Shaft Unbalance 142\u003c\/p\u003e \u003cp\u003e6.5.3 Numerical Solution of the Equations of Motion 144\u003c\/p\u003e \u003cp\u003e6.5.4 Example Showing Shaft Unbalance Effects on Journal Orbits 145\u003c\/p\u003e \u003cp\u003e6.6 Turbulence Effects 147\u003c\/p\u003e \u003cp\u003e6.6.1 Governing Equations for Turbulent Flow 147\u003c\/p\u003e \u003cp\u003e6.6.2 Effects of Turbulence on the Dynamic Performance 153\u003c\/p\u003e \u003cp\u003e6.6.3 Effects of Turbulence on the Shape and Size and Stability of the Periodic Solutions 154\u003c\/p\u003e \u003cp\u003e6.7 Drag Force Effect 160\u003c\/p\u003e \u003cp\u003e6.7.1 Dynamic Fluid Forces in Journal Bearings 160\u003c\/p\u003e \u003cp\u003e6.7.2 Equations of Motion 162\u003c\/p\u003e \u003cp\u003e6.7.3 Effects of Drag Force on the Hopf Bifurcation Profile 163\u003c\/p\u003e \u003cp\u003eReferences 165\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix A: Derivation of the Dynamic Pressure for Long Journal Bearing 169\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eReference 171\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix B: Integrals Used in Section 1.3 173\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eReferences 174\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix C: Curve-fitting Functions for Long Journal Bearings 175\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eReference 177\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix D: Jacobian Matrix of the Equations of Motion 179\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eReference \u003cb\u003e181\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix E: Matlab Code to Evaluate Rotor Shaft Unbalance Effects 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eE1 Main Code 183\u003c\/p\u003e \u003cp\u003eE2 Functions 189\u003c\/p\u003e \u003cp\u003eE2.1 Function whirl_ fullflexiblewithunbalance.m 189\u003c\/p\u003e \u003cp\u003eE2.2 Function kshaft.m 190\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix F: Nomenclature 193\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIndex 197\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49525363933527,"sku":"9780470057216","price":93.05,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780470057216.jpg?v=1731860236","url":"https:\/\/bookcurl.com\/products\/thermohydrodynamic-instability-in-fluidfilm-bearings-9780470057216","provider":"Book Curl","version":"1.0","type":"link"}