Isogeometric HSDT approach for dynamic stability analysis of general anisotropic composite plates

Abstract

Due to wide application of anisotropic composite plates in modern engineering structures and they were studied rare in literature, the main goal of this work is to study dynamic stability analysis of general anisotropic composite plates. To this end, here, we use the advantages of isogeometric analysis (IGA) to develop a higher-order shear deformation theory (HSDT) framework. In this work, force-frequency curves are obtained for general anisotropic composite plates using novel IGA-HSDT approach which have been previously presented using conventional finite element for specially orthotropic plates. Based on observation, the developed method is higher-order accurate, stable for wide spectral frequency range of anisotropic plates, and efficient in capturing the mode-converging phenomenon. IGA-HSDT model affirmed that the thick plates are more sensitive to frequency convergence prior to divergence with respect to thin ones. Furthermore, C3 NURBS capture the discrete spectrum accurately which is important for explicit dynamic applications of anisotropic plates. Specifically, anisotropic plates with clamped boundaries and low slenderness ratios have mode-converging phenomenon in dynamic stability curves prior to fundamental mode divergence which is not detected in previous works.