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  • 1
    Electronic Resource
    Electronic Resource
    First integrals and integral invariants for variable mass nonholonomic system in noninertial reference frames (1994)
    Springer
    Applied mathematics and mechanics 15 (1994), S. 147-154 
    Details
    ISSN: 1573-2754
    Keywords: analytical mechanics ; nonholonomic constraint ; variable mass ; noninertial reference frame ; first integral ; integral invariant
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The first integrals and their conditions of existence for variable mass nonholonomic system in noninertial reference frames are obtained, and the canonical equations and the variation equations of the system are extended. It is proved that using the first integral we can construct the integral invariant of the system. Finally, a series of deductions and an example are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451049
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Generalized Noether's theorem of nonholonomic nonpotential system in noninertial reference frames (1991)
    Springer
    Applied mathematics and mechanics 12 (1991), S. 927-934 
    Details
    ISSN: 1573-2754
    Keywords: noninertial reference frame ; nonholonomic constraint ; conservation law of dynamics ; Noether's theorem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The new Lagrangian of the relative motion of mechanical system is constructed, the variational principles of Jourdain's form of nonlinear nonholonomic nonpotential system in noninertial reference frame are established, the generalized Noether's theorem of the system above is presented and proved, and the conserved quantities of system are studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458256
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  • 3
    Electronic Resource
    Electronic Resource
    Integral theory for the dynamics of nonlinear nonholonomic system in noninertial reference frames (1993)
    Springer
    Applied mathematics and mechanics 14 (1993), S. 907-918 
    Details
    ISSN: 1573-2754
    Keywords: analysis mechanics ; nonholonomic constraints ; noninertial reference frame ; integral theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract This paper establishes the integral theory for the dynamics of nonlinear nonholonomic system in noninertial reference frame. Firstly, based on the Routh equation of the relative motion of nonlinear nonholonomic system gives the first integral of the system. Secondly, by using cyclic integral or energy integral reduces the order of the equation and obtains generalized Routh equation and Whittaker equation respectively. Thirdly, derives canonical equation and variation equation and by using the first integral constructs integral invariant. And then, establishes the basic integral variants and the integral invariant of Poincaré-Cartan type. Finally, we give a series of deductions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451705
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    Paper (German National Licenses)
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