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أخوانى فى الله أحضرت لكم كتاب Mechanisms for Generating Mathematical Curves Springer Tracts in Mechanical Engineering Iulian Popescu Liliana Luca Mirela Cherciu Dan B. Marghitu
![كتاب Mechanisms for Generating Mathematical Curves M_f_g_14](https://i.servimg.com/u/f61/15/36/74/14/m_f_g_14.jpg) و المحتوى كما يلي :
Contents Part I Basic Theory of Mechanisms 1 Structural Analysis of Planar Mechanisms 3 1.1 Kinematic Joints . 3 1.2 Kinematic Links and the Degree of Freedom 8 1.3 Substitution of Fourth Class Joints . 10 1.4 Assur’s Principle and Kinematic Groups . 11 1.5 Kinematic and Structural Diagrams . 17 References . 20 2 Kinematic Analysis of Planar Mechanisms 21 2.1 Closed-Loop Method . 21 2.1.1 Kinematics of the Driving Links and Assur Groups 24 2.1.2 Kinematics of the Slider-Crank Mechanism 34 2.2 Kinematics of Third Order Triad . 39 References . 44 Part II Synthesis and Analysis of Mechanisms for Generating Mathematical Curves 3 Mechanisms for Generating Straight Lines and Arcs 47 3.1 An Approximate Rectilinear Guiding Mechanism . 47 3.1.1 The Synthesis of a New Mechanism . 47 3.1.2 The Structure and Kinematics of the New Mechanism . 49 3.1.3 Results Obtained . 51 3.2 Mechanism for Approximation of Arcs 54 3.2.1 Trajectories . 54 3.2.2 Velocities and Accelerations . 57 References . 61 ix4 Mechanisms for Generating Conical Curves . 63 4.1 Mechanism Ellipsograph . 63 4.1.1 Introduction . 63 4.1.2 The Mechanism Synthesis 64 4.1.3 The Mechanism Analysis . 65 4.1.4 Results Obtained . 65 4.2 Mechanisms for Generating Parabolas . 72 4.2.1 Case of Parabola Based on Pedal Curve 72 4.2.2 A New Mechanism for Generating Parabola . 80 4.2.3 Case for Generation of Parabola as Envelope of a Line . 89 4.3 Mechanisms for Generating Hyperbolas 95 4.3.1 Case of Hyperbola Based on Pedal Curve . 95 4.3.2 A New Mechanism for Generating Hyperbola 104 4.4 Conic-Generating Mechanism Based on a Locus Problem . 114 4.4.1 Geometrical Considerations . 114 4.4.2 The Mechanism Synthesis 114 4.4.3 The Mechanism Analysis . 114 4.4.4 Results Obtained . 116 References . 119 5 Mechanisms for Generating Some Plane Mathematical Curves 121 5.1 Mechanisms for Generating Cissoids 122 5.1.1 The Cissoid of a Circle 122 5.1.2 The Straight Line Cissoid . 125 5.2 Mechanism for Generating Berard’s Curve 130 5.2.1 The Mechanism Synthesis 130 5.2.2 The Mechanism Analysis . 131 5.2.3 Results Obtained . 132 5.3 Mechanism for Generating the Egg-Shaped Curve 142 5.3.1 Introduction . 142 5.3.2 The Mechanism Synthesis 143 5.3.3 The Mechanism Analysis . 144 5.3.4 Results Obtained . 145 5.3.5 The Influence of Inputs on the Curve’s Shape 147 5.4 Mechanism for Generating the Double Egg Curve 152 5.4.1 The Mechanism Synthesis 152 5.4.2 The Mechanism Analysis . 152 5.4.3 Results Obtained . 153 5.4.4 The Influence of Inputs on the Curve’s Shape 157 5.5 Mechanism for Generating Bernoulli Quartic 159 5.5.1 The Mechanism Synthesis 159 5.5.2 The Mechanism Analysis . 160 5.5.3 Results Obtained . 161 x Contents5.6 Mechanism for Generating MacLaurin’s Trisectrix 166 5.6.1 Introduction . 166 5.6.2 The Mechanism Synthesis 167 5.6.3 The Mechanism Analysis . 167 5.6.4 Results Obtained . 168 5.6.5 The Influence of Inputs on the Curve’s Shape 172 5.7 Mechanism for Generating the Ophiuride . 175 5.7.1 Introduction . 175 5.7.2 The Mechanism Synthesis 175 5.7.3 The Mechanism Analysis . 177 5.7.4 Results Obtained . 178 5.7.5 Considerations Regarding the Mechanism Functionality 180 5.7.6 The Influence of Input Data on the Curve’s Shape . 180 5.8 Mechanism for Generating Pascal’s Snail . 186 5.8.1 The Mechanism Synthesis 186 5.8.2 The Mechanism Analysis . 188 5.8.3 Results Obtained . 188 References . 192 6 Mechanism for Generating Spatial Curves 193 6.1 Screw Mechanism . 193 6.1.1 Input Data 193 6.1.2 Generation of Cylindrical Helix 195 6.1.3 Generation of Conical Helix . 195 6.1.4 Generation of Complex Spatial Curves . 196 6.2 Six-Bar Linkage Mechanism 202 6.2.1 Input Data 202 6.2.2 Generation of Cylindrical Helix with Variable Pitch . 203 6.2.3 Generation of Conical Helix with Variable Pitch 204 6.2.4 Generation of Complex Spatial Curves with Variable Pitch 205 References .
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