Polyakhov, Nikolai Nikolaevich.
Rational and Applied Mechanics Volume 1. Complete General Course for Students of Engineering / [electronic resource] : by Nikolai Nikolaevich Polyakhov, Mikhail Petrovich Yushkov, Sergey Andreevich Zegzhda ; edited by Petr Evgenievich Tovstik. - 1st ed. 2021. - XVIII, 520 p. 112 illus. online resource. - Foundations of Engineering Mechanics, 1860-6237 . - Foundations of Engineering Mechanics, .
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.
9783030640613
10.1007/978-3-030-64061-3 doi
Civil engineering.
Mechanics.
System theory.
Control theory.
Control engineering.
Nonlinear Optics.
Civil Engineering.
Classical Mechanics.
Systems Theory, Control .
Control and Systems Theory.
Nonlinear Optics.
TA1-2040
624
Rational and Applied Mechanics Volume 1. Complete General Course for Students of Engineering / [electronic resource] : by Nikolai Nikolaevich Polyakhov, Mikhail Petrovich Yushkov, Sergey Andreevich Zegzhda ; edited by Petr Evgenievich Tovstik. - 1st ed. 2021. - XVIII, 520 p. 112 illus. online resource. - Foundations of Engineering Mechanics, 1860-6237 . - Foundations of Engineering Mechanics, .
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.
9783030640613
10.1007/978-3-030-64061-3 doi
Civil engineering.
Mechanics.
System theory.
Control theory.
Control engineering.
Nonlinear Optics.
Civil Engineering.
Classical Mechanics.
Systems Theory, Control .
Control and Systems Theory.
Nonlinear Optics.
TA1-2040
624