| Description |
1 online resource (217 pages) |
| Series |
Springer Tracts in Mechanical Engineering |
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Springer tracts in mechanical engineering.
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| Contents |
Intro -- Foreword -- Preface -- Contents -- About the Authors -- Part I Basic Theory of Mechanisms -- 1 Structural Analysis of Planar Mechanisms -- 1.1 Kinematic Joints -- 1.2 Kinematic Links and the Degree of Freedom -- 1.3 Substitution of Fourth Class Joints -- 1.4 Assur's Principle and Kinematic Groups -- 1.5 Kinematic and Structural Diagrams -- References -- 2 Kinematic Analysis of Planar Mechanisms -- 2.1 Closed-Loop Method -- 2.1.1 Kinematics of the Driving Links and Assur Groups -- 2.1.2 Kinematics of the Slider-Crank Mechanism -- 2.2 Kinematics of Third Order Triad -- References |
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Part II Synthesis and Analysis of Mechanisms for Generating Mathematical Curves -- 3 Mechanisms for Generating Straight Lines and Arcs -- 3.1 An Approximate Rectilinear Guiding Mechanism -- 3.1.1 The Synthesis of a New Mechanism -- 3.1.2 The Structure and Kinematics of the New Mechanism -- 3.1.3 Results Obtained -- 3.2 Mechanism for Approximation of Arcs -- 3.2.1 Trajectories -- 3.2.2 Velocities and Accelerations -- References -- 4 Mechanisms for Generating Conical Curves -- 4.1 Mechanism Ellipsograph -- 4.1.1 Introduction -- 4.1.2 The Mechanism Synthesis -- 4.1.3 The Mechanism Analysis |
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4.1.4 Results Obtained -- 4.2 Mechanisms for Generating Parabolas -- 4.2.1 Case of Parabola Based on Pedal Curve -- 4.2.2 A New Mechanism for Generating Parabola -- 4.2.3 Case for Generation of Parabola as Envelope of a Line -- 4.3 Mechanisms for Generating Hyperbolas -- 4.3.1 Case of Hyperbola Based on Pedal Curve -- 4.3.2 A New Mechanism for Generating Hyperbola -- 4.4 Conic-Generating Mechanism Based on a Locus Problem -- 4.4.1 Geometrical Considerations -- 4.4.2 The Mechanism Synthesis -- 4.4.3 The Mechanism Analysis -- 4.4.4 Results Obtained -- References |
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5 Mechanisms for Generating Some Plane Mathematical Curves -- 5.1 Mechanisms for Generating Cissoids -- 5.1.1 The Cissoid of a Circle -- 5.1.2 The Straight Line Cissoid -- 5.2 Mechanism for Generating Berard's Curve -- 5.2.1 The Mechanism Synthesis -- 5.2.2 The Mechanism Analysis -- 5.2.3 Results Obtained -- 5.3 Mechanism for Generating the Egg-Shaped Curve -- 5.3.1 Introduction -- 5.3.2 The Mechanism Synthesis -- 5.3.3 The Mechanism Analysis -- 5.3.4 Results Obtained -- 5.3.5 The Influence of Inputs on the Curve's Shape -- 5.4 Mechanism for Generating the Double Egg Curve |
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5.4.1 The Mechanism Synthesis -- 5.4.2 The Mechanism Analysis -- 5.4.3 Results Obtained -- 5.4.4 The Influence of Inputs on the Curve's Shape -- 5.5 Mechanism for Generating Bernoulli Quartic -- 5.5.1 The Mechanism Synthesis -- 5.5.2 The Mechanism Analysis -- 5.5.3 Results Obtained -- 5.6 Mechanism for Generating MacLaurin's Trisectrix -- 5.6.1 Introduction -- 5.6.2 The Mechanism Synthesis -- 5.6.3 The Mechanism Analysis -- 5.6.4 Results Obtained -- 5.6.5 The Influence of Inputs on the Curve's Shape -- 5.7 Mechanism for Generating the Ophiuride -- 5.7.1 Introduction |
| Summary |
This book focuses on important mathematical considerations in describing the synthesis of original mechanisms for generating curves. The synthesis is manual and not based on the use of computer tools. Kinematics is applied to confirm the drawing of the curves, and the closed loop method, and in some cases the distances method, is applied in this phase. The book provides all the notions of structure and kinematics that are necessary to calculate the mechanisms and also analyzes other kinematic possibilities of the created mechanisms. Offering a concise, yet self-contained guide to the mathematical fundamentals for mechanisms of curve generation, together with a useful collection of mechanisms exercises, the book is intended for students learning about mechanism kinematics, as well as engineers dealing with mechanism design and analysis. It is based on the authors many years of research, which has been published in different books and journals, mainly, but not exclusively, in Romanian |
| Notes |
5.7.2 The Mechanism Synthesis |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Mechanical engineering.
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Curves.
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mechanical engineering.
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Geometry.
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Building construction & materials.
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Art forms.
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Technical design.
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Mathematics -- Geometry -- General.
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Technology & Engineering -- Construction -- Heating, Ventilation & Air Conditioning.
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Architecture -- Design, Drafting, Drawing & Presentation.
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Technology & Engineering -- Industrial Design -- Product.
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Curves
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Mechanical engineering
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| Form |
Electronic book
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| Author |
Luca, Liliana, author
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Cherciu, Mirela, author
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Marghitu, Dan B., author.
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| ISBN |
9783030421687 |
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3030421686 |
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