scholarly journals No Mesh, No Fuss

2006 ◽  
Vol 128 (05) ◽  
pp. 46-48 ◽  
Author(s):  
Jean Thilmany
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Mathematical Representation ◽  
Element Analysis ◽  
B Spline ◽  
Cad System ◽  
Curves And Surfaces

This paper highlights the design of finite element analysis (FEA) without the finite element. The analysis can use the same information, the CAD system used to create the geometry in the first place. The geometry as well as the analysis fields-like displacement or temperature all uses the non-uniform rational B-spline mathematical representation. Software makers generally use the NURBS mathematical model to generate curves and surfaces in a digitized image. The framework lets mechanical engineers run quick, what-if scenarios to determine how changing a piece of a subassembly would affect the entire assembly. The full assembly need not be remeshed.

Predicting the Large Deflection Path of End-Loaded Tapered Cantilever Beams

2000 ◽  
Author(s):  
Matthew B. Parkinson ◽  
Gregory M. Roach ◽  
Larry L. Howell
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Euler Equation ◽  
Large Deflection ◽  
Nonlinear Finite Element ◽  
Cantilever Beams ◽  
Element Analysis ◽  
Moments Of Inertia ◽  
Physical Testing

Abstract A simple (quadratic) mathematical model for predicting the deflection path of both non-tapered and continuously tapered cantilever beams loaded with a vertical end force is presented. It is based on the proposition that the path is a function of the ratio of the endpoints’ moments of inertia. The model is valid for both small and large (the tip makes a 70 degree angle with the horizontal) deflections. This was verified through physical testing, comparison to solution of the Bernoulli-Euler equation, and results obtained through nonlinear finite element analysis. Predicted endpoint deflections were found to be accurate within 1.8% of the actual deflection path for moment of inertia ratios varying from 1:1 to 1000:1.

Mathematical Modeling and Experimental Study on Electrochemical Deburring of Miniature Holes

2013 ◽  
Vol 721 ◽  
pp. 382-386 ◽  
Author(s):  
Ze Fei Wei ◽  
Xing Hua Zheng ◽  
Zi Yuan Yu
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Finite Element Analysis ◽  
Experimental Study ◽  
Finite Element ◽  
Electrochemical Machining ◽  
Current Density Distribution ◽  
Element Analysis ◽  
The Finite Element Analysis

The paper mainly focused on burr removal of the miniature hole drilled on aluminum plate by electrochemical machining. A mathematical model for the electrochemical deburring of miniature holes (M-ECD) was established based on the finite element analysis to the current density distribution. Both theoretical analysis and experimental study were held on the effects of many factors to the deburring results. The results proved that predictions based on our mathematical model were agreed with the experimental data comparatively.

Automated Assembly Model Simplification for Finite Element Analysis

2012 ◽  
Author(s):  
Brian Russ ◽  
Madan M. Dabbeeru ◽  
Andrew S. Chorney ◽  
Satyandra K. Gupta
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Complex Model ◽  
Model Simplification ◽  
Assembly Model ◽  
Element Analysis ◽  
Cad System ◽  
Computational Performance ◽  
Long Time ◽  
3D Assembly

Analyzing complex 3D assembly models using finite element analysis software requires suppressing parts that are not likely to influence the analysis results, but may significantly improve the computational performance during the analysis. The part suppression step often depends on many factors within the context and application of the model. Currently, most analysts perform this step manually. This step can take a long time to perform on a complex model and can be tedious in nature. In this paper, we present an approach to multi-part suppression based on the specified criteria. We have developed utilities in Pro/Engineer CAD system to identify parts that meet the specified criteria and suppress them. We present several examples to illustrate the value of the proposed approach.

Integration of B-spline geometry and ANCF finite element analysis

2009 ◽  
Vol 61 (1-2) ◽  
pp. 193-206 ◽  
Author(s):  
Peng Lan ◽  
Ahmed A. Shabana
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Element Analysis ◽  
B Spline

Ruled Surfaces, Lie Groups, and Mesh Generation

1997 ◽  
Author(s):  
Kenneth Sprott ◽  
Bahram Ravani
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Mesh Generation ◽  
Group Structure ◽  
Computational Method ◽  
Ruled Surfaces ◽  
Element Analysis ◽  
Automatic Mesh Generation ◽  
B Spline ◽  
Automatic Mesh

Abstract This paper develops a method for design of Beziér and B-spline ruled surfaces taking advantage of the Lie group structure associated with the displacement of lines. The result is a computational method which is independent of the choice of coordinate system. The method is unique in that it can be used on a set of intersecting lines and in this way is applied to automatic mesh generation for finite element analysis.

scholarly journals Theoretical Modelling of Plate with Attached Vibration Absorber

2015 ◽  
Vol 773-774 ◽  
pp. 33-37 ◽  
Author(s):  
Izzuddin Zaman ◽  
Muhammad Mohamed Salleh ◽  
Bukhari Manshoor ◽  
Amir Khalid ◽  
Mohd Zamani Ngali ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Theoretical Modelling ◽  
Vibration Absorber ◽  
Element Analysis ◽  
Constant Frequency ◽  
Structural Alterations ◽  
Theoretical Predictions ◽  
The Common

There are many ways to control the vibration of plate structure. Conventional approaches that include structural alterations are frequently time consuming and costly. One of the common schemes is using vibration absorber attached to a structure. In this paper, a mathematical model is developed to determine the frequency response of fixed-fixed ends plate with attached vibration absorber. A finite element analysis was performed and compared with the theoretical predictions and showed that there was good resemblance. The results demonstrated that the addition of vibration absorber onto plate can attenuate vibration considerably at a constant frequency.

Sign in / Sign up

Export Citation Format

Share Document