Mechanisms for generating mathematical curves / Iulian Popescu, Liliana Luca, Mirela Cherciu, Dan B. Marghitu.

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Popescu, Iulian (Author), Luca, Liliana (Author), Cherciu, Mirela (Author), Marghitu, Dan B. (Author)
Format: eBook
Language:English
Published: Cham : Springer, 2020.
Series:Springer tracts in mechanical engineering.
Subjects:
Online Access:Click for online access

MARC

LEADER 00000cam a2200000 i 4500
001 on1152052274
003 OCoLC
005 20240808213014.0
006 m o d
007 cr un|---aucuu
008 200425s2020 sz ob 000 0 eng d
040 |a EBLCP  |b eng  |e rda  |e pn  |c EBLCP  |d YDX  |d GW5XE  |d LQU  |d EBLCP  |d OCLCF  |d NLW  |d UKAHL  |d OCLCQ  |d OCLCO  |d COM  |d GUA  |d OCLCQ  |d SFB  |d UKMGB  |d AUD  |d OCLCQ  |d OCLCO  |d OCLCQ  |d OCLCL 
015 |a GBC337613  |2 bnb 
016 7 |a 019816662  |2 Uk 
019 |a 1151243165  |a 1152534080  |a 1153156074  |a 1153943748  |a 1154479844  |a 1155230463 
020 |a 9783030421687  |q (electronic bk.) 
020 |a 3030421686  |q (electronic bk.) 
020 |z 3030421678 
020 |z 9783030421670 
024 8 |a 10.1007/978-3-030-42 
035 |a (OCoLC)1152052274  |z (OCoLC)1151243165  |z (OCoLC)1152534080  |z (OCoLC)1153156074  |z (OCoLC)1153943748  |z (OCoLC)1154479844  |z (OCoLC)1155230463 
037 |a com.springer.onix.9783030421687  |b Springer Nature 
050 4 |a TJ145 
049 |a HCDD 
100 1 |a Popescu, Iulian,  |e author. 
245 1 0 |a Mechanisms for generating mathematical curves /  |c Iulian Popescu, Liliana Luca, Mirela Cherciu, Dan B. Marghitu. 
264 1 |a Cham :  |b Springer,  |c 2020. 
300 |a 1 online resource (217 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Springer Tracts in Mechanical Engineering 
588 0 |a Print version record. 
505 0 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
500 |a 5.7.2 The Mechanism Synthesis 
504 |a Includes bibliographical references. 
520 |a 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. 
650 0 |a Mechanical engineering. 
650 0 |a Curves. 
650 7 |a mechanical engineering.  |2 aat 
650 7 |a Geometry.  |2 bicssc 
650 7 |a Building construction & materials.  |2 bicssc 
650 7 |a Art forms.  |2 bicssc 
650 7 |a Technical design.  |2 bicssc 
650 7 |a Mathematics  |x Geometry  |x General.  |2 bisacsh 
650 7 |a Technology & Engineering  |x Construction  |x Heating, Ventilation & Air Conditioning.  |2 bisacsh 
650 7 |a Architecture  |x Design, Drafting, Drawing & Presentation.  |2 bisacsh 
650 7 |a Technology & Engineering  |x Industrial Design  |x Product.  |2 bisacsh 
650 7 |a Curves  |2 fast 
650 7 |a Mechanical engineering  |2 fast 
700 1 |a Luca, Liliana,  |e author. 
700 1 |a Cherciu, Mirela,  |e author. 
700 1 |a Marghitu, Dan B.,  |e author. 
758 |i has work:  |a Mechanisms for generating mathematical curves (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGTG6mgdt6XPjthVYYrXV3  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Popescu, Iulian.  |t Mechanisms for Generating Mathematical Curves.  |d Cham : Springer International Publishing AG, ©2020  |z 9783030421670 
830 0 |a Springer tracts in mechanical engineering. 
856 4 0 |u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-3-030-42168-7  |y Click for online access 
903 |a SPRING-ENGINE2020 
994 |a 92  |b HCD