Y.T. Wu

Bio: Y.T. Wu is an academic researcher from Chongqing University. The author has contributed to research in topics: Elasticity (physics) & Stress resultants. The author has an hindex of 1, co-authored 1 publications receiving 3 citations.

Rational nonlinear analysis of framed structures and curved beams considering joint equilibrium in deformed state

Abstract: Based on the continuum mechanics principles, a rigorous formulation is presented for the linearized stiffness equation of three-dimensional beam elements with account taken of the joint moment equilibrium in the deformed configuration C 2 By sticking to the Bernoulli–Euler hypothesis of plane sections and elasticity definitions for stress resultants, the bending moments and torque of the element are shown to be quasi- and semi-tangential, respectively, in the updated Lagrangian formulation Further, by invoking the moment equilibrium conditions for structural nodes at C 2 , the induced moment matrix that first appears to be antisymmetric on the element level turns out to be symmetric upon assembly of all elements on the structural level The joint equilibrium conditions at C 2 , as represented by the induced moment matrix, are central not only to the out-of-plane buckling analysis of angled frames, but also to the simulation of curved beams by the straight-beam elements Examples on the buckling of angled frames and curved beams are provided to support the theory presented

Analytical solutions for buckling of space frames subjected to torsional loadings

Abstract: The paper presents analytical solutions for the buckling of single beams as well as two- and three-member frames subjected to torques at the supports. The governing equations and their solutions are stated, including boundary conditions and continuity conditions at connections between members, and buckling solutions are provided for a wide range of support conditions and frame geometries. The cross-section is assumed to be solid or hollow and accordingly, warping effects are ignored. The presented solutions are for a solid rectangular cross-section, and different aspect ratios are analysed to investigate the effect of changing the ratio between the minor and major second moments of area on the buckling torque and associated buckling mode. Solutions are provided for both the critical mode and higher-order modes, allowing mode-changes between symmetric and asymmetric modes to be identified.

Closure of "Thin-Walled Space Frames. I: Large-Deformation Analysis Theory"

Abstract: A finite element formulation for the large‐deformation analysis of space‐frame structures is presented. The formulation is based on second‐order geometric nonlinear theory and Vlasov's theory for thin‐walled beams (i.e., large displacement of members with small strains, which includes the warping deformation influence). The influence of member‐distributed loading on the geometric nonlinear response of space‐frame structures also is included. An updated Lagrangian formulation is used to model large joint translations and rotations. Prismatic beams of arbitrary cross section are considered. Rodriguez's modified rotation vector is used to represent angular deformations, which avoids rotational discontinuities at the joints of deformed space‐frame structures. Numerical results and algorithmic details are presented in a companion paper.

Explicit Expressions for Buckling Analysis of Thin-Walled Beams Under Combined Loads with Laterally-Fixed Ends and Application to Stability Analysis of Saw Blades

Abstract: This paper studies the critical issue of thin-walled beams with laterally fixed ends. The method for defining the formulae of twist moment for the beams subjected to combined loads was elucidated. ...