...Ruqing Bai; Hakim Naceur; Jinglei Zhao; Jin Yi; Jie Ma; Huayan Pu; Jun Luo Purpose In this paper, the standard Peridynamic Timoshenko beam model accounting for the shear deformation is chosen to describe the thick beam kinematics. Unfortunately, when applied to very thin beam structures...

... are discussed. The dynamic amplifications are investigated for various damage scenarios in addition to displacement time-histories. Design/methodology/approach Timoshenko beam theory (TBT) and Rayleigh-Love bar theory (RLBT) are used for bending and axial vibrations, respectively. The cracks are modeled...

... that by its differential counterpart. Moreover, it was revealed that by the present approach, the softening and hardening effects, respectively, originated from the nonlocal and micromorphic theories can be considered simultaneously. Originality/value Developing a hybrid size-dependent Timoshenko beam...

...Minmao Liao; Hongzhi Zhong Purpose – The purpose of this paper is to highlight the implementation of a recently developed weak form quadrature element method for nonlinear free vibrations of Timoshenko beams subjected to three different boundary conditions. Design/methodology/approach...