Effect of Bending Stiffness on the Dynamic and Steady-State Responses of Belt-Drives

Wasfy, Tamer M.; Leamy, Michael J.

doi:10.1115/detc2002/mech-34223

Cited by 21 publications

(25 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The authors of Refs. [1,5,7] demonstrate that the results of the proposed models and analytical values are in good agreement for discretizations with 38 (three node beam elements, 154 degrees of freedom) or 100 (truss elements, 202 degrees of freedom) elements per half pulley.…”

Section: Introductionsupporting

confidence: 55%

See 1 more Smart Citation

Modeling of Belt-Drives Using a Large Deformation Finite Element Formulation

2006

View full text Add to dashboard Cite

In this paper, the applicability of the absolute nodal coordinate formulation for the modeling of belt-drive systems is studied. A successful and effective analyzing method for belt-drive systems requires the exact modeling of the rigid body inertia during an arbitrary rigid body motion, accounting of shear deformation, description of highly nonlinear deformations, and a simple as well as realistic description of the contact. The absolute nodal coordinate formulation meets the challenge and is a promising approach for the modeling of belt-drive systems. In this study, a recently proposed two-dimensional shear deformable beam element based on the absolute nodal coordinate formulation has been modified to obtain a belt-like element. In the original element, a continuum mechanics approach is applied to the exact displacement field of the shear deformable beam. The belt-like element allows the user to control the axial and bending stiffness through the use of two parameters. In this study, the interaction between the belt and the pulleys is modeled using an elastic approach in which the contact is accounted for by the inclusion of a set of external forces that depend on the penetration between the belt and pulley. When using the absolute nodal coordinate formulation, the contact forces can be distributed over the length of the element due to the use of high-order polynomials. This is different from other approaches that are used in the modeling of belt-drives. Static and dynamic analysis are used in this study to show the performance of the distributed contact force model and the proposed belt-like element, which is able to model highly nonlinear deformations. Applying these two contributions to the modeling of belt-drive systems, instead of contact forces applied at nodes and low-order elements, leads to a considerable reduction in the degrees of freedom.

show abstract

Section: Introductionsupporting

confidence: 55%

“…The equations of motion are formulated using a total Lagrangian formulation. The effect of bending stiffness on the dynamic and steady-state responses of belt-drives can be accounted for using three node beam elements based on the torsional-spring formulation [6,7]. The authors of Refs.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Belt-Drives Using a Large Deformation Finite Element Formulation

2006

View full text Add to dashboard Cite

show abstract

“…If the bending stiffness can be neglected, then the system is classified as string (wave)-like, otherwise it is classified as beam-like. Most belt studies involve mainly belts moving with a constant velocity [28,29].…”

Section: Introductionmentioning

confidence: 99%

“…The kinetic properties of the moving continua have held the permanent attention of numerous researchers over the past 60 years (see [1][2][3]11,12,[14][15][16]18,19,[23][24][25][26][27][28][29][30][31][32][33]). …”

Section: Introductionmentioning

confidence: 99%

Transversal forced vibrations of an axially moving sandwich belt system

Hedrih

2007

Arch Appl Mech

View full text Add to dashboard Cite

Based on the author's previously published results for transversal free vibrations of axially moving sandwich belts described by coupled partial differential equations, which are derived and analytically solved, this paper contains new analytical results, for forced vibrations of the same system excited by transversal external excitation. The transversal forced vibrations of the axially moving sandwich belts are described by the coupled partial nonhomogeneous differential equations. The partial differential equations are analytically solved. Bernoulli's method of particular integrals and Lagrange's method of the variations of the constants are used.Keywords Moving sandwich belts · Coupled partial differential equations · Analytical solutions · Lagrange's method · Variations of the constants · One-, two-and multi-frequency free and forced vibrations

show abstract

“…Concentrated reaction forces at the contact area boundaries are reported in Refs. [12][13][14] Geometrically nonlinear theory of rods is required for handling large deformations in belts. An appropriate approach is suggested in e.g.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear statics of extensible elastic belt on two pulleys

Belyaev

Елисеев

Irschik

et al. 2016

Proc Appl Math and Mech

View full text Add to dashboard Cite

The drive belt set on two pulleys is considered as a plane elastic rod. The nonlinear theory of rods with tension is used. The static frictionless contact problem for the rod is formulated. The derived boundary value problem for the nonlinear ordinary differential equations is solved by the finite difference method and by the shooting method by means of computer mathematics. The belt shape and the stresses are determined. The contact reaction and the contact area are obtained in the solution. A benchmark study of extensible and inextensible models is performed.

show abstract

Effect of Bending Stiffness on the Dynamic and Steady-State Responses of Belt-Drives

Cited by 21 publications

References 0 publications

Modeling of Belt-Drives Using a Large Deformation Finite Element Formulation

Modeling of Belt-Drives Using a Large Deformation Finite Element Formulation

Transversal forced vibrations of an axially moving sandwich belt system

Nonlinear statics of extensible elastic belt on two pulleys

Contact Info

Product

Resources

About