Dynamics of Bodies with Time-Variable Mass [electronic resource] / by Livija Cveticanin.
By: Cveticanin, Livija [author.].
Contributor(s): SpringerLink (Online service).
Material type: BookSeries: Mathematical and Analytical Techniques with Applications to Engineering: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2016Edition: 1st ed. 2016.Description: XVII, 193 p. 46 illus., 9 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319220567.Subject(s): Engineering | Applied mathematics | Engineering mathematics | Mechanics | Mechanics, Applied | Engineering | Theoretical and Applied Mechanics | Mechanics | Applications of MathematicsAdditional physical formats: Printed edition:: No titleDDC classification: 620.1 Online resources: Click here to access onlineIntroduction -- Linear and Angular Momentums -- Discontinual Mass Variation -- Analytical Dynamics for the Body with Discontinual Mass Variation -- Dynamics for the Body with Continual Mass Variation -- Vibration of the Body with Continual Mass Variation -- Chaotic Motion of the Mass Variable Body.
This book deals with the problem of dynamics of bodies with time-variable mass and moment of inertia. Mass addition and mass separation from the body are treated. Both aspects of mass variation, continual and discontinual, are considered. Dynamic properties of the body are obtained applying principles of classical dynamics and also analytical mechanics. Advantages and disadvantages of both approaches are discussed. Dynamics of constant body is adopted, and the characteristics of the mass variation of the body is included. Special attention is given to the influence of the reactive force and the reactive torque. The vibration of the body with variable mass is presented. One and two degrees of freedom oscillators with variable mass are discussed. Rotors and the Van der Pol oscillator with variable mass are displayed. The chaotic motion of bodies with variable mass is discussed too. To support learning, some solved practical problems are included.
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