Abstract—The concept of virtual material was presented for the first time when the flexible joint interface may be viewed as a virtual material with the same cross area. The virtual material is rigidly connected with two components situated in both sides of flexible joint interface. Introducing an element, a complex assembled part including a joint interface could be equaled as a simple component without any joint interface so as to simplify the complicated problem about flexible joint interface. The interaction between normal and tangential characteristics of fixed interface considered, a lot of exact analytical expressions of elastic modulus, shear modulus, Poisson ratio and density were deduced from virtual material according to Hertz contact theory and fractal theory. Adopting experimental results about a series of test specimens, the exact analytic solutions for virtual material’s parameters were verified in terms of qualitative comparison principle of resembling vibration shapes and quantitative comparison principle of the natural frequencies. The virtual material model vibration shapes show good agreement with the experimental results. The relative errors between the virtual material model natural frequencies and the experimental ones are between -9% and 5%.
Index Terms—bolted joint interface, fractal theory, Hertz contact theory, natural frequency, vibration shape, virtual material.
The authors are with College of Mechanical and Material Engineering, China Three Gorges University, 443002, Yichang city Hubei province, the People’s Republic of China(e-mail: thl19732003@yahoo.com.cn).
Cite: Hongliang Tian, Dalin Zhu, Hongling Qin, "Theoretical-experimental Modeling of Bolted Joint Interface in Milling of Grey Cast Iron HT250," International Journal of Modeling and Optimization vol. 1, no. 1, pp. 19-23, 2011.
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