ISBN: 9783322909435 - dynamics of systems of rigid bodies (leitfäden der angewandten mathematik und mechanik, band 33) (18 Ergebnisse)

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Paperback. Zustand: new. Paperback. A system of rigid bodies in the sense of this book may be any finite number of rigid bodies interconnected in some arbitrary fashion by joints with ideal holonomic, nonholonomic, scleronomic and/or rheonomic constraints. Typical examples are the solar system, mechanisms in machines and living mechanisms such as the human body provided its individual members can be considered as rigid. Investigations into the dynamics of any such system require the formulation of nonlinear equations of motion, of energy expressions, kinematic relationships and other quantities. It is common practice to develop these for each system separately and to consider the labor necessary for deriving, for example, equations of motion from Lagrange's equation, as inevitable. It is the main purpose of this book to describe in detail a formalism which substantially simplifies these tasks. The formalism is general in that it provides mathematical expressions and equations which are valid for any system of rigid bodies. It is flexible in that it leaves the choice of generalized coordinates to the user. At the same time it is so explicit that its application to any particular system requires only little more than a specification of the system geometry. The book is addressed to advanced graduate students and to research workers. It tries to attract the interest of the theoretician as well as of the practitioner. A system of rigid bodies in the sense of this book may be any finite number of rigid bodies interconnected in some arbitrary fashion by joints with ideal holonomic, nonholonomic, scleronomic and/or rheonomic constraints. Typical examples are the solar system, mechanisms in machines and living mechanisms such as the human body provided its individual members can be considered as rigid. Investigations into the dynamics of any such system require the formulation of nonlinear equations of motion, of energy expressions, kinematic relationships and other quantities. It is common practice to develop these for each system separately and to consider the labor necessary for deriving, for example, equations of motion from Lagrange's equation, as inevitable. It is the main purpose of this book to describe in detail a formalism which substantially simplifies these tasks. The formalism is general in that it provides mathematical expressions and equations which are valid for any system of rigid bodies. It is flexible in that it leaves the choice of generalized coordinates to the user. At the same time it is so explicit that its application to any particular system requires only little more than a specification of the system geometry. The book is addressed to advanced graduate students and to research workers. It tries to attract the interest of the theoretician as well as of the practitioner. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. …

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - A system of rigid bodies in the sense of this book may be any finite number of rigid bodies interconnected in some arbitrary fashion by joints with ideal holonomic, nonholonomic, scleronomic and/or rheonomic constraints. Typical examples are the solar system, mechanisms in machines and living mechanisms such as the human body provided its individual members can be considered as rigid. Investigations into the dynamics of any such system require the formulation of nonlinear equations of motion, of energy expressions, kinematic relationships and other quantities. It is common practice to develop these for each system separately and to consider the labor necessary for deriving, for example, equations of motion from Lagrange's equation, as inevitable. It is the main purpose of this book to describe in detail a formalism which substantially simplifies these tasks. The formalism is general in that it provides mathematical expressions and equations which are valid for any system of rigid bodies. It is flexible in that it leaves the choice of generalized coordinates to the user. At the same time it is so explicit that its application to any particular system requires only little more than a specification of the system geometry. The book is addressed to advanced graduate students and to research workers. It tries to attract the interest of the theoretician as well as of the practitioner. …

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Zustand: New. 2012. Paperback. . . . . . Books ship from the US and Ireland.

Paperback. Zustand: new. Paperback. A system of rigid bodies in the sense of this book may be any finite number of rigid bodies interconnected in some arbitrary fashion by joints with ideal holonomic, nonholonomic, scleronomic and/or rheonomic constraints. Typical examples are the solar system, mechanisms in machines and living mechanisms such as the human body provided its individual members can be considered as rigid. Investigations into the dynamics of any such system require the formulation of nonlinear equations of motion, of energy expressions, kinematic relationships and other quantities. It is common practice to develop these for each system separately and to consider the labor necessary for deriving, for example, equations of motion from Lagrange's equation, as inevitable. It is the main purpose of this book to describe in detail a formalism which substantially simplifies these tasks. The formalism is general in that it provides mathematical expressions and equations which are valid for any system of rigid bodies. It is flexible in that it leaves the choice of generalized coordinates to the user. At the same time it is so explicit that its application to any particular system requires only little more than a specification of the system geometry. The book is addressed to advanced graduate students and to research workers. It tries to attract the interest of the theoretician as well as of the practitioner. A system of rigid bodies in the sense of this book may be any finite number of rigid bodies interconnected in some arbitrary fashion by joints with ideal holonomic, nonholonomic, scleronomic and/or rheonomic constraints. Typical examples are the solar system, mechanisms in machines and living mechanisms such as the human body provided its individual members can be considered as rigid. Investigations into the dynamics of any such system require the formulation of nonlinear equations of motion, of energy expressions, kinematic relationships and other quantities. It is common practice to develop these for each system separately and to consider the labor necessary for deriving, for example, equations of motion from Lagrange's equation, as inevitable. It is the main purpose of this book to describe in detail a formalism which substantially simplifies these tasks. The formalism is general in that it provides mathematical expressions and equations which are valid for any system of rigid bodies. It is flexible in that it leaves the choice of generalized coordinates to the user. At the same time it is so explicit that its application to any particular system requires only little more than a specification of the system geometry. The book is addressed to advanced graduate students and to research workers. It tries to attract the interest of the theoretician as well as of the practitioner. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. …

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Paperback. Zustand: Brand New. reprint edition. 224 pages. German language. 9.61x6.69x0.52 inches. In Stock. This item is printed on demand.

Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A system of rigid bodies in the sense of this book may be any finite number of rigid bodies interconnected in some arbitrary fashion by joints with ideal holonomic, nonholonomic, scleronomic and/or rheonomic constraints. Typical examples are the solar system, mechanisms in machines and living mechanisms such as the human body provided its individual members can be considered as rigid. Investigations into the dynamics of any such system require the formulation of nonlinear equations of motion, of energy expressions, kinematic relationships and other quantities. It is common practice to develop these for each system separately and to consider the labor necessary for deriving, for example, equations of motion from Lagrange's equation, as inevitable. It is the main purpose of this book to describe in detail a formalism which substantially simplifies these tasks. The formalism is general in that it provides mathematical expressions and equations which are valid for any system of rigid bodies. It is flexible in that it leaves the choice of generalized coordinates to the user. At the same time it is so explicit that its application to any particular system requires only little more than a specification of the system geometry. The book is addressed to advanced graduate students and to research workers. It tries to attract the interest of the theoretician as well as of the practitioner. 224 pp. Deutsch.…

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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 1 Mathematical Notation.- 2 Rigid Body Kinematics.- 2.1 Generalized coordinates for the angular orientation of a rigid body.- 2.1.1 Euler angles.- 2.1.2 Bryant angles.- 2.1.3 Euler parameters.- 2.2 The notion of angular velocity.- 2.3 Relationships between .…

Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -1 Mathematical Notation.- 2 Rigid Body Kinematics.- 2.1 Generalized coordinates for the angular orientation of a rigid body.- 2.2 The notion of angular velocity.- 2.3 Relationships between the angular velocity of a body and generalized coordinates describing the angular orientation of the body.- 3 Basic Principles of Rigid Body Dynamics.- 3.1 Kinetic energy.- 3.2 Angular momentum.- 3.3 Properties of moments and products of inertia.- 3.4 The law of moment of momentum.- 3.5 D'Alembert's principle applied to a rigid body.- 4 Classical Problems of Rigid Body Mechanics.- 4.1 The unsymmetric torque-free rigid body.- 4.2 The symmetric torque-free rigid body.- 4.3 The self-excited, symmetric rigid body.- 4.4 The symmetric heavy top.- 4.5 The symmetric heavy body in a cardan suspension.- 4.6 The gyrostat. General considerations.- 4.7 The torque-free gyrostat.- 5 General Multi-Body Systems.- 5.1 Introductory remarks.- 5.2 Equations of motion for systems with tree structure.- 5.3 Multi-body systems with closed chains and with arbitrary constraints.- 5.4 Concluding remarks.- 6 Impact Problems in Holonomic Multi-Body Systems.- 6.1 Basic assumptions.- 6.2 Instantaneous velocity increments.- 6.3 An analogy to the law of Maxwell and Betti.- 6.4 Internal impulses and impulse couples in hinges.- Answers to Problems.- Literature References.Vieweg+Teubner Verlag, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 228 pp. Deutsch.…