The dynamic sti!ness matrix of a centrifugally sti!ened Timoshenko beam has been developed and used to carry out a free vibration analysis. The governing di!erential equations of motion of the beam in free vibration are derived using Hamilton's principle and include the e!ect of an arbitrary hub rad
DYNAMIC STIFFNESS FORMULATION, FREE VIBRATION AND WAVE MOTION OF HELICAL SPRINGS
โ Scribed by J. LEE; D.J. THOMPSON
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 490 KB
- Volume
- 239
- Category
- Article
- ISSN
- 0022-460X
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๐ SIMILAR VOLUMES
A set of 12 partial differential equations pertaining to helical springs is solved for free vibrations by the transfer matrix method. The dynamic transfer matrix including the axial and the shear deformations and the rotational inertia effects for any number of coils is numerically determined up to
Starting from the governing di!erential equations of motion in free vibration, the dynamic sti!ness matrix of a uniform rotating Bernoulli}Euler beam is derived using the Frobenius method of solution in power series. The derivation includes the presence of an axial force at the outboard end of the b