Dynamic Response Analysis of a Bulk Carrier by Nonlinear Hydroelastic Method

With increasing demands for huge ship dimensions and the wide use of high-strength steel, the influence of slamming and elastic structure on structural strength cannot be ignored. Therefore, in this paper, a three-dimensional (3D) nonlinear hydroelastic theory is introduced, in which the nonlinear hydrostatic restoring force caused by instantaneous wetted surface as well as slamming force are taken into consideration, and the bending moments with/without slamming effects are calculated, respectively. Numerical simulations of the dynamic response of a flexible hull at different speeds are carried out using the finite element analysis software MSC/PATRAN. By comparison with the results of classical beam theory, the accuracy of the dynamic analysis method is studied. Finally, the dynamic response method is compared with the quasi-static method and classical beam theory. By analyzing and quantifying the influence of forward speed and nonlinear factors on structural responses, the reasonable applicable conditions for different methods are discussed, which can be used as reference in the structure design of bulk carriers.

Ritz solution for buckling analysis of thin-walled composite channel beams based on a classical beam theory

Buckling analysis of thin-walled composite channel beams is presented in this paper. The displacement field is based on classical beam theory. Both plane stress and plane strain state are used to achieve constitutive equations. The governing equations are derived from Lagrange’s equations. Ritz method is applied to obtain the critical buckling loads of thin-walled beams. Numerical results are compared to those in available literature and investigate the effects of fiber angle, length-to-height’s ratio, boundary condition on the critical buckling loads of thin-walled channel beams. Keywords: Ritz method; thin-walled composite beams; buckling.

Bi-Dimensional Deflection Estimation by Embedded Fiber Bragg Gratings Sensors

In this work, we present and discuss on the deflection estimation of a bi-dimensional panel by using Fiber Bragg Gratings (FBGs) as strain sensors embedded in the structure and a method based on the classical beam theory. The existing difficulties in the direct measure of the deflection are overcome thanks to the proposed technique and a real-time indirect structural monitoring is possible both on small and large structure. In many tests the estimated deflection with the proposed method has been compared with direct deflection measurements obtained with a mechanical comparator showing good agreement. A resolution of few tens of microns over a surface of the order of 1 m2 has been reached.

Size-dependent vibrations of a micro beam conveying fluid and resting on an elastic foundation

In this study, fluid conveying continuous media was considered as micro beam. Unlike the classical beam theory, the effects of shear stress on micro-structure's dynamic behavior not negligible. Therefore, modified couple stress theory (MCST) were used to see the effects of being micro-sized. By using Hamilton's principle, the nonlinear equations of motion for the fluid conveying micro beam were obtained. Micro beam was considered as resting on an elastic foundation. The obtained equations of motion were became independence from material and geometric structure by nondimensionalization. Approximate solutions of the system were achieved with using the multiple time scales method (a perturbation method). The effects of micro-structure, spring constant, the occupancy rate of micro beam, the fluid velocity on natural frequency and solutions were researched. MCST compared with classical beam theory and showed that beam models that based on classical beam theory are not capable of describing the size effects. Comparisons of classical beam theory and MCST were showed in graphics and these graphics also proved that obtained mathematical model suitable for describe the behavior of normal sized beams.

Evaluation of Torsional Rigidity for Micro-Lattice Plates

In this paper, the torsional rigidity of micro-lattice plates is investigated using a FE analysis. In particular, the effect of the overall length of the plate and the unit-cell geometry on the torsional rigidity are discussed. Also, a theoretical approach, based on classical beam theory, for predicting the rigidity is proposed, and its effectiveness is verified by comparing with FE results.