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Mechanical Systems Classical Models Volume 1 Particle Mechanics 1st Edition by Petre Teodorescu ISBN 9781402054426 1402054424

Name: Mechanical Systems Classical Models Volume 1 Particle Mechanics 1st Edition by Petre Teodorescu ISBN 9781402054426 1402054424
SKU: EB-18872
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Authors:Petre P. Teodorescu , Series:Mechanical engineering [140] , Tags:Science; Mechanics; General; Physics; Mathematical & Computational; Mathematics; Applied , Author sort:Teodorescu, Petre P. , Languages:Languages:eng , Published:Published:Sep 2009 , Publisher:Springer Science & Business Media , Comments:Comments:All phenomena in nature are characterized by motion. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion. In the study of a science of nature, mathematics plays an important rÃ´le. Mechanics is the first science of nature which has been expressed in terms of mathematics, by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool. As it was already seen in the first two volumes of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, that is on its five principles, i.e.: the inertia, the forces action, the action and reaction, the independence of the forces action and the initial conditions principle, respectively. Other models, e.g., the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Keplerâ€™s laws brilliantly verify this model in case of velocities much smaller then the light velocity in vacuum.

SKU: EB-18872 Category: eBook PDF Tags: Mechanical Systems Classical, Particle Mechanics, Petre Teodorescu

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ISBN 10: 1402054424
ISBN 13: 9781402054426
Author: Petre Teodorescu

In the study of a science of nature mathematics plays an important role. Mechanics is the first science of nature which was expressed in terms of mathematics by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool; on the other hand, we must observe that mechanics also influenced the introduction and the development of many mathematical notions. In this respect, the guideline of the present book is precisely the mathematical model of mechanics. A special accent is put on the solving methodology as well as on the mathematical tools used; vectors, tensors and notions of field theory. Continuous and discontinuous phenomena, various mechanical magnitudes are presented in a unitary form by means of the theory of distributions. Some appendices give the book an autonomy with respect to other works, special previous mathematical knowledge being not necessary. Some applications connected to important phenomena of nature are presented, and this also gives one the possibility to solve problems of interest from the technical, engineering point of view.

Mechanical Systems Classical Models Volume 1 Particle Mechanics 1st Edition Table of contents:

Part I: Fundamentals of Particle Mechanics

Introduction to Classical Mechanics
- Historical Development of Mechanics
- Fundamental Concepts in Classical Mechanics
- Units and Dimensions in Mechanics
- Overview of Particle Dynamics
Kinematics of Particles
- Position, Velocity, and Acceleration
- Motion in One, Two, and Three Dimensions
- Curvilinear Motion and Polar Coordinates
- Relative Motion Analysis
Forces and Newton’s Laws of Motion
- Force and Mass: Newton’s Second Law
- Applications of Newton’s Laws
- Gravitational and Electromagnetic Forces
- Non-inertial Frames of Reference
Work and Energy
- Work Done by a Force
- Kinetic and Potential Energy
- Conservation of Energy Principle
- Power and Efficiency in Particle Systems
Linear Momentum and Impulse
- Momentum and Newton’s Second Law
- Impulse-Momentum Theorem
- Conservation of Linear Momentum
- Collisions and Impact Analysis

Part II: Particle Dynamics and Motion

Motion Under Constant Acceleration
- Uniformly Accelerated Motion
- Free Fall and Projectile Motion
- Applications in Engineering and Physics
Oscillatory Motion
- Simple Harmonic Motion (SHM)
- Damped and Forced Oscillations
- Resonance and Applications in Mechanical Systems
Central Force Motion
- Motion under Gravitational and Electrostatic Forces
- Kepler’s Laws of Planetary Motion
- Effective Potential and Orbital Motion
Particle Systems and Rigid Body Motion
- Systems of Particles: Center of Mass and Motion
- Rigid Body Rotation and Kinematics
- Euler’s Equations of Motion for Rigid Bodies

Part III: Advanced Topics in Particle Mechanics

Non-Newtonian Particle Mechanics
- Lagrangian Mechanics
- Hamiltonian Mechanics and Variational Principles
- Generalized Coordinates and Constraints
Chaos and Nonlinear Dynamics
- Chaotic Behavior in Particle Systems
- Lyapunov Exponents and Sensitive Dependence on Initial Conditions
- Bifurcation and Period Doubling
Relativistic Particle Mechanics
- Special Relativity and Particle Motion
- Relativistic Energy and Momentum
- Lorentz Transformations and Time Dilation

Part IV: Applications in Mechanical Systems

Particle Mechanics in Engineering Applications
- Mechanical Vibrations in Particle Systems
- Particle Dynamics in Robotics
- Particle Behavior in Fluid Systems
Spacecraft and Planetary Motion
- Satellite Orbits and Space Mission Planning
- Gravity Assist and Orbital Maneuvers
- Spacecraft Attitude Control Systems
Particle Mechanics in Material Science
- Microscopic Particle Motion in Solids and Fluids
- Statistical Mechanics and Thermodynamics
- Nanoparticles and Nanomechanics

Part V: Appendices

Mathematical Tools for Particle Mechanics
- Vector Calculus and Differential Equations
- Coordinate Transformations and Tensors
- Numerical Methods in Particle Dynamics

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