Finite Element Analysis of Compressor Blades Under Extension, Bending and Torsion Loads

Abstract

A finite element formulation is presented for modeling the dynamic as well as static response of a compressor blades subjected to extension, bending and torsional loads. The formulation is derived from the variational principle with the consideration for the total potential energy of the structure based on the classical lamination theory. The compressor blade is modeled as an advanced beam with idealized rectangular cross-section that takes the warping effect into consideration. The bending-torsion coupling is introduced in the stiffness and mass matrices. A one dimensional linear isoparametric element with hermit cubic shape function is used. A two end nodes and one intermediate node as well is implemented for the finite element formulation. A Matlab interactive code was developed to solve a blade with a multi action loads. The results obtained are compared to the available analytical and finite element results.

Finite Element Analysis of Isotropic and Anisotropic Beams Using a Simple Higher Order Shear Deformation Theory

“…, where,  is the fundamental natural frequency. Tables (7) and (8) show a good agreement between the predicted results of the fundamental natural frequencies of the proposed model with the results given by Ref. [3] Figures (10)a, (10)b and (10)c represent the effect of ply-orientation angles on the first three mode shapes of a composite beam with clampedfree boundary condition.…”

“…Elshafei et al [8,9] proposed a finite element model, to study the static and the free vibration response of isotropic and anisotropic beams subjected to axial, bending, and torsion loads with warping effect using the classical beam theory. They found that an additional node in the middle of the beam element was required to give a better presenting in the torsion deformation.…”

Modeling and Analysis of Isotropic and Anisotropic Tiemoshenko Beams Using Finite Element Technique

“…The displacements field equations of the beam are assumed as [5]: Selecting the constant values of Eqn. (1)a as:…”

“…Elshafei, et al [5,6] proposed a finite element model to study the static and the free vibration response of isotropic and anisotropic beams subjected to axial, bending, and torsion loads with warping effect using the classical beam theory. They found that an additional node in the middle of the beam element is required to give a better twisting Proceeding of the 14 th AMME Conference, 25 -27 May 2010…”

Finite Element Analysis of Compressor Blades Under Extension, Bending, and Torsion Loads

“…The torsion deformation of the beam cross section subjected to a torque moment is shown in Fig. 3 and Fig 4, and the following formulations are obtained [19].…”