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Can I read Violin string shape functions for finite element analysis of rotating Timoshenko beams on EtoBox?
Violin string shape functions for finite element analysis of rotating Timoshenko beams by A.S. Vinod Kumar; Ranjan Ganguli is a Engineering article available to read on EtoBox.
What is Violin string shape functions for finite element analysis of rotating Timoshenko beams about?
a b s t r a c t Violin strings are relatively short and stiff and are well modeled by Timoshenko beam theory. We use the static part of the homogeneous differential equation of violin strings to obtain new shape functions for the finite element analysis of rotating Timoshenko beams. For deriving the shape functions, the rotating beam is considered as a sequence of violin strings. The violin string shape functions depend on rotation speed and element position along the beam length and account for centrifugal stiffening effects as well as rotary inertia and shear deformation on dynamic characteristics of rotating Timoshenko beams. Numerical results show that the violin string basis functions perform much better than the conventional polynomials at high rotation speeds and are thus useful for turbo machine applications.
Who reads Violin string shape functions for finite element analysis of rotating Timoshenko beams?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- A.S. Vinod Kumar; Ranjan Ganguli
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0168-874X)
- Published
- 2011
- Language
- EN
- Field
- Engineering (Physical Sciences)