L.ru This paper is an extended version of the paper published inside the Proceedings of AeroTechDigital Summit, on-line, 91 March 2021.Citation: Vasiliev, A.; Lupuleac, S.; Shinder, J. Numerical Approach for Detecting the Resonance Effects of Drilling for the duration of Assembly of Aircraft Structures. Mathematics 2021, 9, 2926. https://doi.org/10.3390/math9222926 Academic Editors: Jan Valdman, Maxim Frolov, Michal Kur and Jan Fesl Received: 8 October 2021 Accepted: 15 November 2021 Published: 17 NovemberAbstract: This paper is devoted towards the improvement of a numerical method that makes it possible for quick detection of the circumstances favorable for the starting of noticeable vibrations for the duration of drilling. The main novelty of your proposed method lies in taking into account the deviations with the assembled compliant parts in the course of non-stationary speak to evaluation by signifies of variation simulation. The approaches to stationary Compound 48/80 References analysis of assembly high quality are expanded and generalized for modeling such non-stationary effects as vibration and resonance. The numerical procedure is based on modeling the tension train state of the assembled structures by solving the corresponding transient speak to problem. The usage of Guyan reduction, the node-to-node contact model plus the application from the generalized technique permit the reformulation from the make contact with issue with regards to a series of quadratic programming troubles. The algorithm is thoroughly tested and validated with commercial computer software. The efficiency in the developed numerical procedure is illustrated by evaluation in the test joints of two aircraft panels. The unsteady procedure of drilling the panels with periodic drilling force was simulated. The influence of deviations in the shape of your parts around the non-stationary interlayer gap was modeled by setting different initial gaps in between components. It’s shown that the oscillation amplitudes of the interlayer gap depend on the initial gaps and don’t correlate using the mean value on the stationary residual gap. Hence, non-stationary evaluation offers new information and facts in regards to the high-quality of the assembly process, and it needs to be applied in the event the assembly course of action includes periodic impact on the assembled components. Keywords: assembly simulation; dynamic get in touch with challenge; Guyan reduction; nonstationary load; drilling vibrations1. Introduction The assembly of a commercial aircraft involves many drilling and reaming operations as a way to make holes for fastener installation [1,2]. A widespread hole-producing operation in aircraft assembly is drilling holes by means of a number of layers of sheet metal or composite MCC950 Autophagy components as a way to fasten them together [3,4]. One of many most significant conditions to be met in the course of drilling is usually to make sure that the interlayer gap among the assembled components is less than the specified value (commonly several tenths of a millimeter). Violation of this situation can cause difficulties for example burr formation, ingress of chips involving the assembled parts and misalignment in the drilled holes [5]. Presently, mathematical modeling is increasingly employed to optimize the assembly process [91]. In distinct, the drill loads are taken into account in analysis and optimization of the assembly approach [12]. Luo et al. [13] investigated the drilling parameters of Al7075-T6 aerospace aluminum alloy and also the chip formation employing finite element analysis. Liu et al. [14] optimized the drilling method to cut down the interlayer gap via numerical simulation and experimentation. Tinkloh et al. [15] inv.
