Rational and Applied Mechanics
Volume 1. Complete General Course for Students of Engineering
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Beschreibung
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.
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.
Based on 60 years of experience in teaching theoretical and applied mechanics at Saint Petersburg State University Is unique in the style and depth of presenting the material Corresponds to 4th edition of successful Russian textbook Contains a number of new chapters on both theoretical and applied mechanics
Autor*in
Nikolai Nikolaevich Polyakhov
Themen in »Rational and Applied Mechanics«
Analytical Mechanics Stability of Motion Nonlinear Oscillations Dynamics and Statics of the Stewart Platform Mechanics Under Random Forces Elements of Control Theory Relations between Nonholonomic Mechanics and the Control Theory Vibration and Autobalancing of Rotor Systems Physical Theory of Impact Statics and Dynamics of a Thin Rod