A Higher Order Deformation Theory of Orthotropic Beams

• Published in: JSME International Journal Series A Solid Mechanics and Material Engineering Vol. 44; no. 3; pp. 370 - 373
• Main Authors: LIM, Jang-Keun, HAN, Seog-Young
• Format: Journal Article
• Language: English
• Published: Tokyo The Japan Society of Mechanical Engineers 01.07.2001; Japan Society of Mechanical Engineers; Japan Science and Technology Agency
• Subjects: Consistent Condition; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Higher Order Beam Theory; Normal Deformation; Orthotropic Material; Physics; Shear Deformation; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Distributed load; Differential equation; Airy function; Shear stress; Transverse load; Non linear effect; Modeling; Cantilever beam; Mechanical shock; Orthotropic material
• ISSN: 1344-7912; 1347-5363
• DOI: 10.1299/jsmea.44.370

If a beam is subjected to impact load or distributed load locally, the height of the cross section in the beam directly under the load is deformed. In order to estimate accurately the deformation of the cross section height and the transversely normal and shear stress components, a consistent higher order deformation theory of orthotropic beams is proposed. In order to verify the validity and effectiveness of the proposed theory, the analytical solution of a simple cantilevered beam problem is obtained and compared with the existed elastic solution. It is found that the displacement and stress components are identical to the corresponding solution of the Airy stress function in elasticity theory, and the deformation of the cross section height and the transversely normal stress are also estimated reasonably.