A Finite Element Analysis Verification of a Machine-Trained Mathematical Model of T-Tube Hydroforming

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Moataz Mohamed ElShazly ◽  
Tarek Osman ◽  
Mostafa Shazly
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Tube Hydroforming ◽  
Element Analysis ◽  
T Tube

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.

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.

Comparative study of finite element analysis in tube hydroforming of stainless steel 304

2015 ◽  
Vol 16 (4) ◽  
pp. 611-617 ◽  
Author(s):  
P. Thanakijkasem ◽  
A. Pattarangkun ◽  
S. Mahabunphachai ◽  
V. Uthaisangsuk ◽  
S. Chutima
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stainless Steel ◽  
Comparative Study ◽  
Tube Hydroforming ◽  
Element Analysis ◽  
Stainless Steel 304

The Finite Element Analysis and Structure Optimizing of the 42MN Flatting Mill’s Higher Beam

2010 ◽  
Vol 145 ◽  
pp. 317-320
Author(s):  
Chun Ming Zhang ◽  
Run Yuan Hao
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Structural Design ◽  
Structural Parameters ◽  
Element Model ◽  
Optimum Structure ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
The Mathematical Model

This text is on the basis of the investigation of the 42MN flatting mill’s higher beam, establishing the flatting mill’s higher beam’s finite element model and the mathematical model which has optimum structure. According to the results of their structure finite element analysis, weaved the relevant procedures and optimized them, obtained ideal structural parameters, this text provide better ideas and ways for the structural design of the flatting mill’s higher beam.

Numerical Analysis of Flush End-Plate Beam-to-Column Connection using Mathematical Model and Finite Element Analysis

2021 ◽  
Author(s):  
Mohammad Haroon Ehsan ◽  
Mutlu Seçer
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Numerical Analysis ◽  
Numerical Models ◽  
Design Parameters ◽  
Engineering Practice ◽  
Element Analysis ◽  
Analysis And Design ◽  
End Plate

In the conventional analysis and design of steel structures, beam-to-column connections are generally assumed as entirely rigid or perfectly pinned. This assumption simplifies analysis and design steps and preferred extensively in structural engineering practice. However, experimental studies conducted in recent years have revealed that handling some of the beam-to-column connections as entirely rigid or perfectly pinned does not give realistic results. In fact, most of the connections used in current practice have some certain amount of stiffness which fall between the extreme cases of entirely rigid and perfectly pinned. In order to model the beam-to-column connections properly, several researchers have proposed various mathematical models based on experimental results. In these models, moment rotation relations of beam-to-column connections are defined according to the type of connection. In this study, moment-rotation behaviors of beam-to-column connections formed by flush end-plate are investigated using finite element analysis and a well-known practical mathematical model. Moreover, numerical analysis outcomes were compared with the test results of a reference study from the literature. This paper showed the importance of structural design parameters in determining moment-rotation relationship of flush end-plate type of beam-to-column connections and evaluated the efficiency of the practical numerical models.

Influence of Assembly Tolerance on Dynamic Characteristics of Motor Rotation Assembly

2013 ◽  
Vol 655-657 ◽  
pp. 608-611 ◽  
Author(s):  
Wei Wen Lv ◽  
Xu Xing Jin
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Dynamic Characteristics ◽  
Machine Tools ◽  
Machining Accuracy ◽  
The Finite Element Method ◽  
Element Analysis ◽  
Assembly Tolerance ◽  
The Mathematical Model

The motor rotation assembly of machine tools is mainly composed of spindle, rotor and bearings, it is to some extent the most important component, and its dynamic characteristics directly affect the machining accuracy and efficiency. Although the finite element method is effective to solve such dynamic problem, the conventional method generally ignores the influence of assembly tolerance between the spindle and the rotor .This probably would lead to a larger error result. A new method is described to evaluate the results obtained from finite element analysis .Firstly, a finite element mathematical model of motor rotation assembly is established, and then the model is tested by means of modal experiment, finally, the mathematical model results calculated by MATLAB software is compared with that of modal experiment, the results show that this modeling method is accurate and efficient. Furthermore, rotors of different inner diameters are mounted onto the spindle of same size, and then modal experiment and a finite element analysis are applied to obtain the dynamic characteristics of the motor rotation assembly under different assembly tolerances. This research can provide some reference values for the tolerance design of the motor rotation assembly.

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