Study on an alternative deformation concept for the Timoshenko beam and Mindlin plate models

摘要: Abstract An overall historical survey on the bending and shearing deformation concepts in first-order shear theories is carried out relation to corrected classical models from viewpoint of distinguishability both deflections beams plates, including alternative concept for Timoshenko beam Mindlin plate proposed by author his co-worker. The shows that models, are recognized as distinguishable physical entities, which has gained widespread acceptance various fields continuum structure mechanics, though cannot be obtained concurrently using a deductive approach. With regard conventional theory, not it shown these two uniquely determined specifically defined plate. In contrast this, effective resolving all above inconsistencies. To demonstrate its effectiveness practical advantages, static dynamic analyses out. analysis involves simply supported subjected uniform or concentrated load, addition total deflection approach, thought experiment distinguishes entities also presented. application an extension Southwell–Dunkerley methods synthesizing frequencies. Based series-type synthetic-frequency method established co-worker, frequency with coupled series isotropic plates carbon fiber reinforced plastic laminated composite beams. It model can contribute development finite element formulation free locking.