An equation for the trajectory of a point mass (a particle) when it moves (slides) in a plane by inertia along a weightless elastic thread (string), stretched between two fixed points is obtained. The time dependence of the trajectory parameter is established. An equation of the trajectory of the pa
The effective mass of a point mass moving along a string on a Winkler foundation
โ Scribed by S.N. Gavrilov
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 234 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
A simple in form and physically clear asymptotic solution of the problem of the motion (without friction) of a point mass acted upon by a specified external force on a string on a Winkler foundation is obtained, taking into account the wave drag on the motion. It is shown that the point mass moves along the string in the same way as a point with a variable velocity-dependent mass would move when acted upon solely by an external force (ignoring drag).
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The uniform motion of a mass along an axially compressed Euler-Bernoulli beam on a viscoelastic foundation is investigated. It is assumed that the mass is subjected to a constant vertical load and that the beam and mass are in continuous contact. The velocity of the mass after which the vibrations o