Analysis of Spur and Straight Bevel Gear Teeth Deflection by the Finite Strip Method

1997 ◽  
Vol 119 (4) ◽  
pp. 421-426 ◽  
Author(s):  
P. Gagnon ◽  
C. Gosselin ◽  
L. Cloutier
Keyword(s):  
Finite Element ◽  
Plate Theory ◽  
Bevel Gear ◽  
Gear Teeth ◽  
Finite Strip ◽  
Straight Bevel Gear ◽  
Strip Method ◽  
Finite Strip Method ◽  
True Shape ◽  
Annular Sector

A linear Finite Strip element for the analysis of rectangular and annular sector thick plates is presented to permit the deflection analysis of spur and straight bevel gear teeth, which are respectively modeled as rectangular and annular sector cantilever plates. Plate deflections are obtained by a hybrid procedure based on the minimum total potential energy theorem, which retains advantages of both the orthotropic-plate method and the Finite Element concept and is called the Finite Strip Method. The formulation accounting for transverse shear deformation is based on Mindlin’s plate theory. Since the presented Finite Strip element supports any combination of continuous thickness variations, the true shape of the tooth is used in the solution. The formulation can be easily applied to any boundary conditions and supports any type and combination of transverse loads and moments. Application of the Finite Strip Method to predict the deflection of spur and straight bevel gear teeth is demonstrated and results are compared to those obtained by the Finite Element Method.

Bending analysis of functionally graded sandwich plates using the refined finite strip method

2021 ◽  
pp. 109963622110204
Author(s):  
Mohammad Naghavi ◽  
Saeid Sarrami-Foroushani ◽  
Fatemeh Azhari
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Sandwich Plate ◽  
Plate Theory ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Finite Strip ◽  
Strip Method ◽  
Finite Strip Method

In this study, static analysis of functionally graded (FG) sandwich plates is performed using the finite strip method based on the refined plate theory (RPT). Two types of common FG sandwich plates are considered. The first sandwich plate is composed of two FG material (FGM) face sheets and a homogeneous ceramic or metal core. The second one consists of two homogeneous fully metal and ceramic face sheets at the top and bottom, respectively, and a FGM core. Differential equations of FG sandwich plates are obtained using Hamilton's principle and stiffness and force matrices are formed using the finite strip method. The central deflection and the normal stress values are obtained for a sinusoidal loaded FG sandwich plate and the accuracy of the results are verified against those obtained from other theories such as the classical plate theory (CPT), the first-order shear deformation theory (FSDT), and the higher order shear deformation theory (HSDT). For the first time, this study presents a finite strip formulation in conjunction with the RPT to analyze FG Sandwich plates. While the proposed method is fast and simple, it is capable of modeling a variety of boundary conditions.

Application of Finite Strip Method in Vehicle Design: Part 1 of 2—Linear Buckling Analysis of Thin Walled Structures

2011 ◽  
Author(s):  
Umesh Gandhi ◽  
Stephane Roussel ◽  
K. Furusu ◽  
T. Nakagawa
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Load Capacity ◽  
The Body ◽  
Finite Strip ◽  
Strip Method ◽  
Finite Strip Method ◽  
Linear Buckling ◽  
Thin Walled ◽  
Element Method

In automotive body design use of AHSS (advanced high strength steel) has been rapidly increasing in the past few years. AHSS which has higher yield strength offers opportunity to reduce gage and hence weight reduction of the body structure. However, it is also known that for the flat thin walled members, as the stress increases and gage gets thinner, the tendency of local instability such as buckling, increases. In this presentation we will discuss finite strip method to estimate linear buckling load for thin walled sections. The finite strip method is simpler version of finite element method, it can be applied on 2D sections, requires limited computer resources and little training to use. Cross section studies based on finite strip method are compared with traditional section analysis as well as finite element method. The results indicates that, the finite strip method is equivalent to finite element method in predicting local buckling of prismatic structures, which is better estimates of the section load capacity compared current methods in CATIA based on fully plastic stress distributions.

Accurate Tooth Stiffness of Spiral Bevel Gear Teeth by the Finite Strip Method

1998 ◽  
Vol 120 (4) ◽  
pp. 599-605 ◽  
Author(s):  
C. Gosselin ◽  
P. Gagnon ◽  
L. Cloutier
Keyword(s):  
Plate Theory ◽  
Transverse Shear Deformation ◽  
Spiral Bevel Gear ◽  
Element Analysis ◽  
Gear Teeth ◽  
Finite Strip ◽  
Numerical Tests ◽  
Finite Strip Method ◽  
Transverse Loads ◽  
Tooth Stiffness

A Finite Strip element is presented for the analysis of variable height and thickness gear teeth, curved along a spiral wound on a cone. The formulation, based on Mindlin’s plate theory, accounts for transverse shear deformation and uses localized functions series in the tooth facewidth direction combined with numerical integration in all directions. The formulation is applied to the clamped-free boundary condition, usual in gearing, and supports any type of transverse loads and moments. The precision of the calculated tooth deflection is ascertained through equivalent numerical tests using Finite Element Analysis. Results agree within 5% of bending displacement at the point of load application.

Optimal Design by Elitist-Genetic Algorithm for Maximum Fundamental Frequency of Fiber Metal Laminated Plates

2011 ◽  
Vol 471-472 ◽  
pp. 331-336 ◽  
Author(s):  
Hadi Ghashochi Bargh ◽  
Mohammad Homayoun Sadr-Lahidjani
Keyword(s):  
Genetic Algorithm ◽  
Fundamental Frequency ◽  
Plate Theory ◽  
Fitness Function ◽  
Laminated Plates ◽  
Finite Strip ◽  
Strip Method ◽  
Plate Length ◽  
Finite Strip Method ◽  
Fiber Metal

In this paper, fundamental frequency optimization of fiber metal laminated plates is studied using the combination of Elitist-Genetic algorithm (E-GA) and finite strip method (FSM). The design variables are the number of layers, the fiber orientation angles of inner composite layers, edge conditions and plate length/width ratios. The classical laminated plate theory (CLPT) is used to calculate the natural frequencies and the fitness function is computed with a semi-analytical finite strip method which has been developed on the basis of full energy methods. To check the validity, the obtained results are also compared with some other stacking sequences.

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