Central Library

Normal view MARC view ISBD view

Rational and Applied Mechanics [electronic resource] : Volume 1. Complete General Course for Students of Engineering / by Nikolai Nikolaevich Polyakhov, Mikhail Petrovich Yushkov, Sergey Andreevich Zegzhda ; edited by Petr Evgenievich Tovstik.

By: Polyakhov, Nikolai Nikolaevich [author.].
Contributor(s): Yushkov, Mikhail Petrovich [author.] | Zegzhda, Sergey Andreevich [author.] | Tovstik, Petr Evgenievich [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Foundations of Engineering Mechanics: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2021Edition: 1st ed. 2021.Description: XVIII, 520 p. 112 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030640613.Subject(s): Civil engineering | Mechanics | System theory | Control theory | Control engineering | Nonlinear Optics | Civil Engineering | Classical Mechanics | Systems Theory, Control | Control and Systems Theory | Nonlinear OpticsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 624 Online resources: Click here to access online
Contents:
Introduction -- SECTION I. KINEMATICS -- Point kinematics -- Kinematics of the rigid solid -- Composite motion -- SECTION II. DYNAMICS.GENERAL ASPECTS OF THEORETICAL MECHANICS. FUNDAMENTALS OF ANALYTICAL MECHANICS -- Particle dynamics -- System dynamics -- Constrained motion -- Small oscillations of systems -- Dynamics of the rigid solid -- Variational -- principles in mechanics -- Statics -- Integration of equations in mechanics -- Elements of the special relativity theory.
In: Springer Nature eBookSummary: Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University. The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied for the integration of equations of motion, and the elements of special relativity theory are presented. This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.
    average rating: 0.0 (0 votes)
No physical items for this record

Introduction -- SECTION I. KINEMATICS -- Point kinematics -- Kinematics of the rigid solid -- Composite motion -- SECTION II. DYNAMICS.GENERAL ASPECTS OF THEORETICAL MECHANICS. FUNDAMENTALS OF ANALYTICAL MECHANICS -- Particle dynamics -- System dynamics -- Constrained motion -- Small oscillations of systems -- Dynamics of the rigid solid -- Variational -- principles in mechanics -- Statics -- Integration of equations in mechanics -- Elements of the special relativity theory.

Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University. The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied for the integration of equations of motion, and the elements of special relativity theory are presented. This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.

There are no comments for this item.

Log in to your account to post a comment.