Refined Finite Element Model for Vibration Analysis of Sandwich Beams with Shear Piezoelectric Actuators and Sensors

2008 ◽  
pp. 169-169
Author(s):  
Marcelo A. Trindade ◽  
Ayech Benjeddou
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Vibration Analysis ◽  
Piezoelectric Actuators ◽  
Element Model ◽  
Sandwich Beams ◽  
Piezoelectric Actuators And Sensors

Finite element bending analysis of symmetric and non-symmetric functionally graded sandwich beams using a novel parabolic shear deformation theory

2021 ◽  
pp. 146442072110050
Author(s):  
Mohamed-Ouejdi Belarbi ◽  
Abdelhak Khechai ◽  
Aicha Bessaim ◽  
Mohammed-Sid-Ahmed Houari ◽  
Aman Garg ◽  
...  
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Shear Deformation ◽  
Transverse Shear ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Element Model ◽  
Beam Element ◽  
Functionally Graded ◽  
Sandwich Beams

In this paper, the bending behavior of functionally graded single-layered, symmetric and non-symmetric sandwich beams is investigated according to a new higher order shear deformation theory. Based on this theory, a novel parabolic shear deformation function is developed and applied to investigate the bending response of sandwich beams with homogeneous hardcore and softcore. The present theory provides an accurate parabolic distribution of transverse shear stress across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the functionally graded sandwich beam without using any shear correction factors. The governing equations derived herein are solved by employing the finite element method using a two-node beam element, developed for this purpose. The material properties of functionally graded sandwich beams are graded through the thickness according to the power-law distribution. The predictive capability of the proposed finite element model is demonstrated through illustrative examples. Four types of beam support, i.e. simply-simply, clamped-free, clamped–clamped, and clamped-simply, are used to study how the beam deflection and both axial and transverse shear stresses are affected by the variation of volume fraction index and beam length-to-height ratio. Results of the numerical analysis have been reported and compared with those available in the open literature to evaluate the accuracy and robustness of the proposed finite element model. The comparisons with other higher order shear deformation theories verify that the proposed beam element is accurate, presents fast rate of convergence to the reference results and it is also valid for both thin and thick functionally graded sandwich beams. Further, some new results are reported in the current study, which will serve as a benchmark for future research.

Vibration analysis of HDD actuator with equivalent finite element model of VCM coil

2003 ◽  
Vol 17 (5) ◽  
pp. 679-690 ◽  
Author(s):  
Dong-Woohn Kim ◽  
Jin Koo Lee ◽  
No-Cheol Park ◽  
Young Pil Park
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Vibration Analysis ◽  
Element Model

Vibration Analysis of Masonry Structures due to Blasting Construction of Mountain Tunnels

2012 ◽  
Vol 170-173 ◽  
pp. 3116-3120
Author(s):  
Tao Wang ◽  
Zhong Qiang Fang ◽  
Hao Li
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Vibration Analysis ◽  
Element Model ◽  
Vibration Response ◽  
Blasting Vibration ◽  
Masonry Structures ◽  
Safety Standard ◽  
Construction Quality ◽  
Mountain Tunnels

Blasting construction of Houyuntai Mountain tunnels has vibration influence on ground masonry structures. 3-D finite element model is established to analyze this problem which indicates the house’s vibration response velocity induced by blasting loads. According to this analysis, the structure range of removal and strengthening is assured based on the allowable safety standard of 0.02~0.025m/s of blasting vibration. They include that the houses in 20m range of both sides of horizontal tunnel axis should be removed; the security in 20~28m range is not good, as a result the houses should be removed or strengthened; and the security over 28m range is good for houses. Moreover, some factors such as construction quality can influence houses’ anti-vibration safety.

Finite Element Modeling of a Highly Flexible Rotating Beam for Active Vibration Suppression With Piezoelectric Actuators

2007 ◽  
Author(s):  
Gabriele Gilardi ◽  
Bradley J. Buckham ◽  
Edward J. Park
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Vibration Suppression ◽  
Piezoelectric Actuators ◽  
Element Model ◽  
Flexible Beam ◽  
Lumped Mass ◽  
Time Step ◽  
Loop Control ◽  
Weighted Residuals

In this paper a new finite element model (FEM) is introduced for the analysis of a highly flexible beam undergoing large deformations due to fast slewing. The finite element model uses a novel absolute nodal coordinate formulation (ANCF) that employs a third order twisted cubic spline geometry. Galerkin’s method of weighted residuals is applied to discretize equations of motion derived for the beam continuum. The model exploits a synergy between the twisted spline geometry and the lumped mass approximation to halve the size of the matrix equations that must be solved on each time step. In the simulation of fast slewing maneuvers, a very slender beam is considered and the elastic deformations experienced are an order of magnitude larger than cases considered to date. Closed-loop control simulation results, using PD feedback for both hub and piezoelectric actuator control, show that the proposed schemes are effective in suppressing very large vibrations. These results show the potential of the proposed FEM as an effective design and simulation tool for analyzing a highly flexible beam undergoing fast slewing, and for synthesizing vibration controllers for piezoelectric actuators.

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