Interaction curves for vibration and buckling of thin-walled composite box beams under axial loads and end moments

Abstract

Interaction curves for vibration and buckling of thin-walled composite box beams with arbitrary lay-ups under constant axial loads and equal end moments are presented. This model is based on the classical lamination theory, and accounts for all the structural coupling coming from material anisotropy. The governing differential equations are derived from the Hamilton's principle. The resulting coupling is referred to as triply flexural-torsional coupled vibration and buckling. A displacement-based one-dimensional finite element model with seven degrees of freedoms per node is developed to solve the problem. Numerical results are obtained for thin-walled composite box beams to investigate the effects of axial force, bending moment, fiber orientation on the buckling loads, buckling moments, natural frequencies and corresponding vibration mode shapes as well as axial-moment-frequency interaction curves.

Flexural‐Torsional Vibration of Thin‐Walled Beams Subjected to Combined Initial Axial Load and End Bending Moment: Application to the Design of Saw Tooth Blades

“…e validation is carried out for the case of a steel thinwalled beam with a rectangular cross section. e input data of the beam are as follows: length L � 0. e natural frequencies obtained by expressions (13) and (29) on the basis of the two approaches are shown in Table 1. e eccentricity e varies from 0 to 2h, while the load F 0 ranges from − 200 N to 1600 N. e negative load F 0 indicates that the beam is under compression.…”

“…Additionally, the influence of the initial in-plane deformations, which are generated by separate initial uniform moments, or distributed loads and/or concentrated loads on the natural frequencies of simply supported thin-walled composite beams was examined by Machado and Cortínez [12]. Vo and Lee [13] determined the interaction curves for the vibration and buckling of simply supported composite box beams subjected to axial loads and end moments. e aforementioned numerical methods are typically used to determine the natural frequencies of a beam under a given loading condition.…”

Experimental Result Comparisons of Curve Fitting Algorithms on Fluid Path Lines Modeling in Strengthen Grinding Flow Field

“…Figure 9 illustrates one micro-section mesh plane of turbulent flow cluster obtained by using monitoring platform and dynamic simulation in RNG k-model, with its key control points highlighted in black dots. In this research, we measured the path lines of those tracer particles in following commonly used flow velocities: 15,20,35,40,45,50 and 55 cm/s. After importing these control points and their transitional motion vectors into Catia v5r19 software, with Eqs.…”

“…Figure 7 describes the sketch of 3D coordinate transformations in this experiment, which transforms the relative coordinates of tracer particles from those conjugate imaging planes into their absolute coordinates in 3D space. After setting an absolute coordinate system as O(X, Y , Z), and the absolute coordinate of P as P(x, y, z), we obtain the camera focal distances denoted by F l and F r according to the abovementioned algorithm, as a result of using projection transformation as follows 40,41 :…”

Variable Preloading Force in an Archetypal Oscillator

“…Various types of beams are considered: free-free, pinned-pinned, pinned-free, clamped-sliding and sliding-sliding ones. Buckling of thin-walled composite beams under axial loads is also investigated [11]. It is shown that the pre-loading of the piezoceramic beams opens the opportunity for increased life time of devices in energy harvesting [12].…”