Abstract
Modal performance of a bolted structure is important when considering a precise mechanical product. Joint interface is a critical aspect of a bolted structure, which is difficult to analyze because of its rough profiles. Equivalent material (EM) is used to simplify the joint interface, which reduces the computational cost and modeling difficulty. Using a modified fractal model based on an oblique asperity contact, we calculated the elastic modulus, the shear modulus, the Poisson’s ratio, and the density of EM. The finite element method was applied to discriminate between the resonant frequencies of bolted structures with EM and without EM. The simulation results are compared with the classical frequency response experiment. The errors between experiments and the bolted structures with EM are less than 10%, which are much less than those without EM. It can be concluded that bolted structures with EM are more reliable and reasonable. Furthermore, the effect of EM is more obvious when the joint interface has a small size, roughness, and tightening torque.
Highlights
It is challenging to analyze the dynamic characteristics of some structures and materials in engineering because of complexity, scale difference, and theoretical modeling difficulties of rough interfaces between parts
The equivalent material (EM) of the joint interface was used to analyze the modal performance of the bolted structure
Contact angle α was introduced to calculate the elastic modulus, the shear modulus, the Poisson’s ratio, and density of EM using a modified fractal model based on oblique asperity contact
Summary
It is challenging to analyze the dynamic characteristics of some structures and materials in engineering because of complexity, scale difference, and theoretical modeling difficulties of rough interfaces between parts. There are many methods for theoretical calculation of contact interfaces, such as the asperity-based theory (Greenwood-Williamson model (GW model) [10], the Bush-Gibson-Thomas model The error of modal response and resonant frequency between fractal theory are applied to calculate the properties. The material strain energy method was another example to study was effective in performing the modal analysis. [17]et another example to study efficient methods that could obtain the EM properties proposed by Ye introduced segment-to-segment contact elements that established thick and thin layers of thick the joint al. Advantage of virtual the material by comparing spring-damping model finite elementmodel method; et al [18] identified advantage of virtualthe material by comparing the and spring-damping and the effectiveness was verified using the laser modal experiment.
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