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Theory of rotational dynamic measurement of plastics
Author(s) -
Kaelble D. H.
Publication year - 1965
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1965.070090401
Subject(s) - cantilever , dynamometer , strain gauge , beam (structure) , materials science , dissipation factor , bending , displacement (psychology) , tangent , tangent modulus , modulus , composite material , physics , optics , dielectric , geometry , mechanical engineering , mathematics , psychology , optoelectronics , psychotherapist , engineering
A theory which postulates a condition of combined constraints of constant stress and constant strain is developed for the rotating cantilever beam measurement of dynamic mechanical properties of rigid plastics. The theory provides operating equations for the rotating beam instrument of Maxwell equipped with a biaxial strain gage dynamometer. The storage component of the dynamic Young's modulus E ′ = 64 L 3 F 1 /3π d 4 (Δ X t − K 1 F 1 ) and the mechanical loss tangent tan γ = [ F 2 (δ X t − K 1 F 1 ) + K 2 F 1 F 2 ]/[ F 1 (Δ X t − K 1 F 1 ) − K 2 ( F 2 ) 2 ] are expressed in terms of the length L and diameter d of the circular rod specimen; the bending spring constants of the biaxial dynamometer K 1 K 2 ; the imposed dynamometer displacement (Δ X t ); and the cantilever beam storage and loss response forces F 1 , F 2 .