Coupled flexural-torsional vibrations of anisotropic bars of polymer composites 1. Theoretical analysis of the effect of the anisotropy parameters of the material and the geometry of the bar on natural frequencies

Ekel'chik, V. S.; Ryabov, V. M.; Yartsev, B. A.

doi:10.1007/bf00808073

Cited by 3 publications

(2 citation statements)

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“…This allows us to recommend the proposed approach of describing the anisotropy for technical applications. In this case, the "pure" shear modulus is determined from the torsional rigidity, whereas, with additional information on the properties of the material at hand, we can pass from the "pure" to a "free" shear modulus [8].…”

Section: G;o G=~ L 9o + ~* (3)mentioning

confidence: 99%

“…At the same time, to solve the problem posed (examination in a wide temperature range), we can use no other method, since the elastic properties in the region of relaxation can be measured [4] only by means of a reverse torsion pendulum with a torsion bar. In addition, in our opinion, the question as to which shear moduli ("pure" according to Voigt or "free" ones [8]) must be substituted into Eq. (1) if the cutting angles of specimens differ from 0 and 90 ~ is disputable.…”

Section: )mentioning

confidence: 99%

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Anisotropy of torsional rigidity of sheet polymer composite materials

1999

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Wide application of polymer composite materials (PCM) Polymer composite materials (PCM) are widely used in aviation and space engineering due to a unique combination of their properties: high strength and rigidity, small specific mass, etc. The choice of a material providing ~hv optimum stress state L~ the structure can be,.realized [I] only if sufficiently complete information on the anisotropy of its viscoelastic properties is available. In this connection, the problem of developing relatively simple and precise methods of estimating this anisotropy, especially at the stage of design of new structural materials, is of great practical interest. In this case, it is important to evaluate their changes under the action of various external factors, primarily of temperature, since all mechanical properties of polymers and composites based on them show a markedly expressed temperature dependence.The most complete description of anisotropy of elastic properties of materials can be given within the framework of the elasticity theory by specifying the respective tensor [2]. It is known [3] that the reinforced

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Section: G;o G=~ L 9o + ~* (3)mentioning

confidence: 99%

Section: )mentioning

confidence: 99%