Kooperativer Bibliotheksverbund

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Format: 1 online resource (687 pages)

ISBN: 3-031-09312-7

Note: Intro -- Abstract -- Acknowledgements -- Introduction -- Contents -- Notation Conventions -- Theoretical Mechanics -- Theory of Mechanisms and Machines -- Resistance of Materials -- Machine Parts and Design Basics -- Introduction to CAD Based on AutoCad AutoLisp -- Part I Theoretical Mechanics -- 1 Statics -- 1.1 Introduction -- 1.2 The Subject and Tasks of Theoretical Mechanics -- 1.3 Strength. Force syste -- 1.4 Axioms of Theoretical Mechanics -- 1.5 Connections and Their Reactions -- 1.5.1 Classification of Constraints -- 1.6 Conditions for the Equilibrium of Converging Forces -- 1.7 A System of Parallel Forces: Power Pairs -- 1.8 Moment of Force Relative to the Point and Axis -- 1.9 Basic Theorem of Statics -- 1.10 Equilibrium of an Arbitrary System of Forces -- 1.11 Solving Problems on the Balance of Systems of Forces -- 1.11.1 General Comment -- 1.11.2 Example 1 -- 1.11.3 Example 2 -- 1.11.4 Example 3 -- 1.12 Truss Calculation -- 1.12.1 Calculation of a Triangular Cantilever Truss -- 1.12.2 Calculation of a Symmetrical Bridge Girder -- 1.13 Computer Calculation of Truss -- 1.14 Center of Parallel Forces -- 1.15 The Center of Gravity of a Rigid Body -- Self-Test Questions -- Self-Test Questions -- Control Tasks for the Section ``Statics'' -- Example of Completing a Task -- References -- 2 Kinematics -- 2.1 Ways to Set the Movement -- 2.2 Speed and Acceleration of the Point -- 2.3 The Simplest Movements of a Solid Body -- 2.3.1 Forward Motion of a Solid Body -- 2.3.2 Rotation of a Solid Body Around a Fixed Axis -- 2.4 Complicated Motion of a Point -- 2.5 Flat Solid Motion -- 2.5.1 Equations of Plane Motion of a Solid Body -- 2.5.2 Angular Velocity and Angular Acceleration in Plane Motion -- 2.5.3 Speed Points in Planar Movement of the Body -- 2.5.4 Instant Center of Velocity -- 2.5.5 Speed Plan. , 2.5.6 Determination of Accelerations of Points of a Body in Flat Motion -- 2.6 Complex Motion of Points in the General Case -- 2.6.1 Absolute and Relative Derivatives of a Vector Function of a Scalar Argument -- 2.6.2 Addition of Velocities -- 2.6.3 Acceleration of a Point in the General Case of Portable Motion -- Self-Test Questions -- Self-Test Questions -- Control Tasks for the Section ``Kinematics'' -- Example of Completing a Task -- References -- 3 Dynamics -- 3.1 Point Dynamics -- 3.2 Dynamic Coriolis Theorem -- 3.3 General Theorems of Dynamics of a Point -- 3.3.1 Basic Concepts and Definitions -- 3.3.2 Theorem on Changing the Amount of Motion Material Point -- 3.3.3 Theorem on Changing the Kinetic Energy of a Point -- 3.3.4 Theorem on Changing the Moment of the Amount of Motion of a Point -- 3.4 System Dynamics -- 3.4.1 The Geometry of the Masses -- 3.4.2 Theorem on the Motion of the Center of Mass of the System -- 3.4.3 Theorem on Changing the Amount of Motion of a System -- 3.4.4 Theorem on Changing the Moment of Quantity of Motion of the System -- 3.4.5 Theorem on Changing the Kinetic Energy of aSystem -- 3.5 The d'Alembert Principle -- Self-Test Questions -- Self-Test Questions -- Control Tasks for the Section ``Dynamics'' -- References -- 4 Theory of Impact -- 4.1 Impact Phenomenon and Its Main Characteristics -- 4.2 Basic Theorems of the Theory of Impact -- 4.3 Impact of a Point on a Stationary Surface -- 4.4 Experimental Determination of the Recovery Factor -- 4.5 Impact of Two Bodies -- 4.6 Carnot's Theorem -- 4.7 Rotating Body Blow -- Self-Test Questions -- Self-Test Questions -- Control Tasks for the Section ``Theory of Impact'' -- Variant 1 -- Variant 2 -- Variant 3 -- Variant 4 -- Variant 5 -- Variant 6 -- Variant 7 -- Variant 8 -- Variant 9 -- Variant 10 -- Example of Completing a Task -- References. , 5 Elements of Analytic Mechanics -- 5.1 The Principle of Possible Movements -- 5.2 Generalized Coordinates: Generalized Forces -- 5.3 The Case of Conservative Forces -- 5.4 Equilibrium Conditions of the System in Generalized Coordinates -- 5.5 General Equation of System Dynamics -- 5.6 Equations in generalized coordinates -- 5.6.1 The Case of Conservative Forces -- Self-Test Questions -- Self-Test Questions -- Control Tasks for the Section ``Analytical Mechanics'' -- Task -- Investigation of the Equations of Motion of a System with Two Degrees of Freedom by the Method of Lagrange Equations of the Second Kind (Example) -- References -- 6 Dynamics of Controlled Systems -- 6.1 Mathematical Model of the Controlled System -- 6.2 Basic Information About Functionals and Function Spaces -- 6.3 Variations of Comparison Curves and Functionals -- 6.4 Statement of the Mayer Variational Problem -- 6.5 The Maximum Principle -- 6.6 Erdmann-Weierstrass Conditions: First Integral -- 6.7 The Simplest Problem of Optimal Performance -- 6.7.1 Building a Mathematical Model -- 6.7.2 Border Conditions -- 6.7.3 Functional -- 6.7.4 Getting Additional Ratios -- 6.7.5 Traction Control Program -- 6.7.6 Integration of Differential Equations of the Problem -- 6.7.7 Completion of the Integration of Problem Equations -- 6.8 Flying the Drone to the Maximum Range -- 6.8.1 Building a Mathematical Model -- 6.8.2 Border Conditions -- 6.8.3 Minimizing Functional -- 6.8.4 Additional Ratios -- 6.8.5 Necessary Conditions for a Strong andWeak Minimum -- 6.8.6 Preparing to Integrate the Aggregate Equations of the Problem -- 6.8.7 Traction Control Program -- 6.8.8 Completion of the Integration of the Differential Equations of the Problem -- Self-Test Questions -- Self-Test Questions -- References -- 7 Stability of Mechanical Systems -- 7.1 Stability and Instability. , 7.2 Work and Classification of Forces -- 7.3 Stability with Conservative and Dissipative Forces -- 7.4 Lyapunov-Chetaev Theorem -- 7.5 Instability in the First Approximation -- 7.6 Critical Load -- 7.7 The Theorem on Stability by the First Approximation -- 7.8 The Raus-Hurwitz Criterion -- 7.9 Main Types of Stability Loss -- 7.10 Methods for Determining Critical Load -- 7.11 The Perturbed Motion of the Compressed Rod -- 7.12 Stability Under Non-conservative Load (Example) -- 7.12.1 Equations of Perturbed Motion -- 7.12.2 Area of Valid Stability -- 7.12.3 Investigation of the Value μ, (Formula (7.31)) -- 7.12.4 Investigation of the Effect of Friction -- 7.12.5 The Influence of the Spacing of the End Masses -- Self-Test Questions -- Self-Test Questions -- Stability of the Equilibrium State of a Conservative Mechanical System -- References -- Part II Elements of the Theory of Mechanisms and Machines -- 8 Basic Concepts -- 8.1 Conditional Classification of Machines -- 8.2 Components of the Mechanism -- 8.3 Kinematic Pairs and Chains -- Self-Test Questions -- Self-Test Questions -- References -- 9 Structural Analysis of Mechanisms -- 9.1 The Degree of Mobility of the Kinematic Chain -- 9.2 Structural Classification of Mechanisms -- 9.2.1 Example of a Structural Analysis of a Mechanism -- Self-Test Questions -- Self-Test Questions -- References -- 10 Kinematic Analysis of Mechanisms -- 10.1 Objectives and Methods of Kinematic Analysis -- 10.2 Building Plans for the Provisions of the Mechanism -- 10.3 Kinematic Diagrams -- 10.3.1 Displacement Diagrams -- 10.3.2 Plotting Velocity and Acceleration Diagrams -- 10.4 Speed and Acceleration Plans -- 10.4.1 Building a Speed Plan -- 10.4.2 Building an Acceleration Plan -- 10.5 Analytical Study of the Kinematics of Mechanisms -- Questions for Self-Test -- References -- 11 Dynamic Analysis of Mechanisms. , 11.1 Classification of Forces -- 11.2 Kinetostatics Problems -- 11.3 Methods of Force Calculation of Mechanisms -- 11.3.1 Force Plans Method -- 11.3.2 Decomposition of Forces -- 11.3.3 Analytical Method -- 11.3.4 Determination of Balancing Force -- Self-Test Questions -- Self-Test Questions -- References -- Part III Strength of Materials -- 12 Initial Concepts and Definitions -- 12.1 Objectives of the Course on Strength of Materials -- 12.2 External Forces: The Saint-Venant Principle -- 12.3 The Simplest Stress States -- 12.4 Deformations and Displacements -- 12.5 Material Testing: Hooke's Law -- Self-Test Questions -- Self-Test Questions -- References -- 13 Calculation of Parts in Tension-Compression -- 13.1 Internal Tensile-Compressive Forces -- 13.2 Stresses -- 13.3 Determination of Deformations and Displacements -- 13.4 Potential Deformation Energy of the Body -- 13.5 Strength Calculations -- 13.6 Statically Indeterminate Tasks -- 13.7 Calculation by permissible loads -- Self-Test Questions -- Self-Test Questions -- References -- 14 Tense State: Strength Theories -- 14.1 Material Strength Hypotheses -- 14.2 Types of Stress -- 14.3 Generalized Hooke's Law -- 14.4 Plane State -- 14.4.1 General Provisions -- 14.4.2 Analysis of the Plane Stress State -- 14.5 Strength Theories -- 14.5.1 Question Statement -- 14.5.2 Working Strength Theories -- Self-Test Questions -- Self-Test Questions -- References -- 15 Shear and Torsion -- 15.1 Shear -- 15.2 Torsion of the Circular Shaft -- 15.3 Calculation of Shafts for Strength and Rigidity -- Self-Test Questions -- Self-Test Questions -- References -- 16 Bending -- 16.1 The Concept of Bending Deformation -- 16.2 Internal Bending Forces -- 16.2.1 Example of Defining Internal Effort -- 16.3 Differential Bending Dependencies -- 16.4 Normal Bending Stresses -- 16.5 Tangential Bending Stresses. , 16.6 Strength Calculation Based on Permissible Stresses.

Additional Edition: Print version: Molotnikov, Valentin Theoretical and Applied Mechanics Cham : Springer International Publishing AG,c2022 ISBN 9783031093111

Language: English

UID:

Format: XXVIII, 684 p. 335 illus., 15 illus. in color. , online resource.

Edition: 1st ed. 2023.

ISBN: 9783031093128

Content: This textbook summarizes the course of engineering mechanics, designed for one or two semesters, at the undergraduate or graduate level for a range of academic majors. The book covers all the main components of the discipline including: Theoretical Mechanics, Theory of Mechanisms and Machines, Resistance of Materials, Machine Parts and Design Basic; and Interchangeability, Standardization, and Technical Measurements. It can also be used by students of other technical areas in to achieve competence in each of the listed disciplines. The concise presentation facilitates concentration on the most important elements of the concepts presented while also outlining the current state of mechanics, demonstrating engineering applications using various computer packages (MathCad, CosmosWorks, Inkscape, AutoCad), and updating data on engineering materials. Examples of both simple and complex engineering calculations are given at the end of each chapter along with self-assessment questions. Presents the subject with a gradually increasing complexity; Reinforces key concepts with control questions and test items at the end of each chapter; Includes applications from various industries (mechanical engineering, construction) along with a detailed bibliography.

Note: Statics -- Kinematics -- Dynamics -- Theory of impact -- Elements of analytic mechanics -- Dynamics of controlled systems -- Stability of mechanical systems -- Basic concepts -- Structural analysis of mechanisms -- Kinematic analysis of mechanisms -- Dynamic analysis of mechanisms -- Initial concepts and definitions -- Calculation of parts in tension-compression -- Tense state. Strength theories -- Shear and torsion -- Bending -- Combined strength -- General theorems of mechanics -- Taking into account the forces of inertia -- Fatigue resistance -- Stability of compressed rods -- General information about machine design -- Precision manufacturing of machine parts -- Mechanical transmission -- Shaft and Axle -- Shaft and Axle Supports -- Couplings -- Connections of parts and units of machines -- Body parts of machines and mechanisms -- Index.

In: Springer Nature eBook

Additional Edition: Printed edition: ISBN 9783031093111

Additional Edition: Printed edition: ISBN 9783031093135

Additional Edition: Printed edition: ISBN 9783031093142

Language: English

DOI: 10.1007/978-3-031-09312-8

URL: https://doi.org/10.1007/978-3-031-09312-8

UID:

Format: 1 Online-Ressource (XXVIII, 684 Seiten) , Illustrationen

ISBN: 9783031093128

Content: Statics -- Kinematics -- Dynamics -- Theory of impact -- Elements of analytic mechanics -- Dynamics of controlled systems -- Stability of mechanical systems -- Basic concepts -- Structural analysis of mechanisms -- Kinematic analysis of mechanisms -- Dynamic analysis of mechanisms -- Initial concepts and definitions -- Calculation of parts in tension-compression -- Tense state. Strength theories -- Shear and torsion -- Bending -- Combined strength -- General theorems of mechanics -- Taking into account the forces of inertia -- Fatigue resistance -- Stability of compressed rods -- General information about machine design -- Precision manufacturing of machine parts -- Mechanical transmission -- Shaft and Axle -- Shaft and Axle Supports -- Couplings -- Connections of parts and units of machines -- Body parts of machines and mechanisms -- Index.

Content: This textbook summarizes the course of engineering mechanics, designed for one or two semesters, at the undergraduate or graduate level for a range of academic majors. The book covers all the main components of the discipline including: Theoretical Mechanics, Theory of Mechanisms and Machines, Resistance of Materials, Machine Parts and Design Basic; and Interchangeability, Standardization, and Technical Measurements. It can also be used by students of other technical areas in to achieve competence in each of the listed disciplines. The concise presentation facilitates concentration on the most important elements of the concepts presented while also outlining the current state of mechanics, demonstrating engineering applications using various computer packages (MathCad, CosmosWorks, Inkscape, AutoCad), and updating data on engineering materials. Examples of both simple and complex engineering calculations are given at the end of each chapter along with self-assessment questions. Presents the subject with a gradually increasing complexity; Reinforces key concepts with control questions and test items at the end of each chapter; Includes applications from various industries (mechanical engineering, construction) along with a detailed bibliography.

Additional Edition: ISBN 9783031093111

Additional Edition: ISBN 9783031093135

Additional Edition: ISBN 9783031093142

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783031093111

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783031093135

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783031093142

Language: English

DOI: 10.1007/978-3-031-09312-8

URL: lizenzpflichtig