This paper develops a universal numerical model for analyzing the vibration characteristics of rotating bidirectional functionally graded porous cantilever beam with axially varying cross-sections. The model is formulated based on the theories of Euler-Bernoulli beam and multi-body dynamics by employing Hamilton’s principle in conjunction with isogeometric analysis (IGA) and Lagrange multiplier and Newmark-β methods. The proposed model incorporates three types of axially varying cross-section, two types of porosity distributions and two types of boundary conditions. Then, the convergence, accuracy, reliability and stability of the proposed model are verified gradually through convergence analysis and model verification. Finally, the vibration characteristic analysis of the rotating bidirectional functionally graded porous cantilever beam with axially varying cross-sections are realized by analyzing the influences of geometric parameters, material parameters, external load working conditions and boundary conditions on the natural frequency and the root mean square (RMS) of acceleration systematically. The above investigation can offer the theoretical basis for evaluating the vibration behaviors of rotating bidirectional functionally graded porous cantilever beam with axially varying cross-sections.
Li et al. (Fri,) studied this question.