Copula Estimation Method of the Running Accuracy of Ball Bearing
Li Lihong,
Li Jishun,
Xue Yujun,
Yu Tongshuai,
Yu Yongjian
Issue:
Volume 4, Issue 1, January 2019
Pages:
11-20
Received:
22 January 2019
Accepted:
28 February 2019
Published:
11 May 2019
Abstract: The bearing is an assembly consisting of multiple elements and its performance is shown mainly as its running accuracy which is influenced by many factors including its elements’ geometrical precision. The influence of elements geometrical precision on bearing running accuracy is joint effect when multiple elements are assembled together. So there must be dependent relationships between bearing running accuracy and the joint action of multiple elements. Such relationship was very complicated and difficultly described by mathematical formula. But, the elements’ geometrical precision follow statistics law, and so, statistics can be applied to analyzing elements’ dimension distribution law and construct joint distribution function. The copula function can be introduced to establish the transmit relationships that join the running accuracy to multiple elements geometrical precision. Based on the copula estimation of distribution algorithm, the mathematic modeling of the radial and face run out distribution of the bearing and elements dimension precision distribution can be built to forecast bearings running accuracy.
Abstract: The bearing is an assembly consisting of multiple elements and its performance is shown mainly as its running accuracy which is influenced by many factors including its elements’ geometrical precision. The influence of elements geometrical precision on bearing running accuracy is joint effect when multiple elements are assembled together. So there ...
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Determination of Tensile and Compressive Moduli of Polymer Composites Using Three Points Cantilever
Shirin Rahmatpanah,
Mohmad Ghane,
Alireza Rahmatpanah
Issue:
Volume 4, Issue 1, January 2019
Pages:
21-27
Received:
2 January 2019
Accepted:
6 March 2019
Published:
23 May 2019
Abstract: In this work a technique is proposed to use bending test in order to determine the tensile and the compressive moduli of plastic sheets as well as polymer composites. A two- component free ends beam deflected in a three point cantilever is used to determine tensile and compressive moduli. Using small deflection equations and the theory of two- component beam, tensile and compressive moduli are then determined via computer program. The beam is composed of two components; spring steel and polymeric strip of the same width. These two components are bonded together with special glue. Two different types of material sheets were tested. The results show that both materials have different tensile and compressive modulus. To verify the model, uniaxial tensile tests were also performed. Taking the values of uniaxial tensile tests as reference showed acceptable accuracy at the proposed method.
Abstract: In this work a technique is proposed to use bending test in order to determine the tensile and the compressive moduli of plastic sheets as well as polymer composites. A two- component free ends beam deflected in a three point cantilever is used to determine tensile and compressive moduli. Using small deflection equations and the theory of two- comp...
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