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30.07.2021 | History

2 edition of Examples to extremum and variational principles in mechanics found in the catalog.

Examples to extremum and variational principles in mechanics

course held at the Department of General Mechanics, October, 1970.

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      • Seminar notes accompanying the volume no. 54 by H. Lippmann.

        StatementSpringer-Verlag
        PublishersSpringer-Verlag
        Classifications
        LC Classifications1973
        The Physical Object
        Paginationxvi, 116 p. :
        Number of Pages92
        ID Numbers
        ISBN 10321181230X
        Series
        1
        2Courses and lectures -- no. 65.
        3

        nodata File Size: 4MB.


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The main goal of Variational and Extremum Principles in Macroscopic Systems is to collect various mathematical formulations and examples of physical reasoning that involve both basic theoretical aspects and applications of variational and extremum approaches to systems of the macroscopic world.

Conservative systems, Jacobi integral, ignorable coordinates, the Routhian function, and Liouville systems.

Show more Recent years have seen a growing trend to derive models of macroscopic phenomena encountered in the fields of engineering, physics, chemistry, ecology, self-organisation theory and econophysics from various variational or extremum principles.

A unique multidisciplinary synthesis of variational and extremum principles in theory and application• Thus it makes sense to consider them within a common context. A brief history of General Relativity, equivalence principle, deflection of light, precession of the perihelion of Mercury's orbit, gravitational red shift, Einstein's elevator. Recent years have seen a growing trend to derive models of macroscopic phenomena encountered in the fields of engineering, physics, chemistry, ecology, self-organisation theory and econophysics from various variational or extremum principles.

The unifying variational approach is used to derive the balance or conservation equations, phenomenological equations linking fluxes Examples to extremum and variational principles in mechanics forces, equations of change for processes with coupled transfer of energy and substance, and optimal conditions for energy management. A comprehensive review of current and past achievements in variational formulations for macroscopic processes• NOTE: Textbook information is subject to be changed at any time at the discretion of the faculty member.

Addition of velocities in Special Relativity, the velocity parameter, generalized Doppler effect, and relativistic dynamics.

Variational and Extremum Principles in Macroscopic Systems

Familiarity with General Relativity is becoming more and more relevant to aerospace engineers because of its importance in the Global Positioning System, high-precision spacecraft trajectory propagation, and in new tests of General Relativity that are being conducted in space missions. If you have questions or concerns please contact the academic department.

Hamilton's principle and nonholonomic equations of constraint. Textbooks: Official textbook information is now listed in the. The unifying variational approach is used to derive the balance or conservation equations, phenomenological equations linking fluxes and forces, equations of change for processes with coupled transfer of energy and substance, and optimal conditions for energy management.

It is shown that Lagrange's equations can be derived from Hamilton's principle, in which the canonical integral containing the Lagrangian is extremized. Uses Lagrangian and Hamiltonian formalisms as a basis for the exposition of novel approaches to transfer and conversion of thermal, solar and chemical energy Show more• A comprehensive review of current and past achievements in variational formulations for macroscopic processes• A unique multidisciplinary synthesis of variational and extremum principles in theory and application•