... to demonstrate the accuracy and effectiveness of the proposed theoretical formulation and numerical implementation. curved beam Timoshenko beam theory isogeometric analysis nonuniform rational B-spline (NURBS) finite element analysis computational mechanics elasticity structures Division...

... Timoshenko beam theory generalized differential quadrature Based on the Timoshenko beam theory, displacements on a generic point of the beam may be expressed in terms of midpoint characteristics of the beam as [ 26 ] (4) u ( x , z , t ) = u 0 ( x , t ) + z ϕ ( x...

... the location and width of band gaps. We consider periodicities involving the repeated spatial variation of material, geometry, boundary and/or suspended mass along the span of a beam. In our formulation, we implement Bloch’s theorem for elastic wave propagation and utilize Timoshenko beam theory...