Abstract
The article proposes a dynamic for design (DFD) procedure for a novel aperture grating tiling device using the multibody system (MBS) approach. The grating device is considered as a rigid-flexible MBS that is built primarily based totally at the load assumptions because of grating movement. This movement is utilized in many industrial applications, such as the compression of laser pulse, precision measuring instruments, and optical communication. A new design procedure of tiling grating device frame is introduced in order to optimize its design parameters and enhance the system stability. The dynamic loads are estimated based on the Lagrange multipliers that are obtained from the solution of the MBS model. This model is fully non-linear and moves in the three-dimensional space, and the relative movement of its bodies is restricted by the description of the constraints function in the motion manifold. The mechanism of the grating device is structurally analyzed in keeping with the dynamic conduct and therefore the generated forces. The symbolic manipulation as well as the computational work of solving the obtained differential-algebraic equations (DAEs) is carried out using MATLAB Symbolic Toolbox. Once the preliminary design has been attained, the stress behavior of the grating device is examined using the MATLAB FEATool Multiphysics toolkit, regarding system stability and design aspects. Moreover, the design was constructed in real life, and the movement has been verified experimentally, which confirms the effectiveness of the proposed procedure. In conclusion, the DFD procedure with trade-off optimization is utilized successfully to design the grating unit for maximum ranges of grating movements.
Highlights
The increasing need for high inertia and ultra-precision in optical devices of observational instruments motivates researchers to develop new design of grating tiling device [1].The research activities on grating device have newly gained greater attention for industrial applications as their advantages become better known and undoubtedly documented [2].The kinematic and dynamic analysis of the grating device are the most paramount parameters used in optimizing the grating device design [3]
Dynamic for design procedure presented in previous sections is used to design small-scale grating device system using MATLAB symbolic toolbox
This paper introduces a dynamic for design DFD procedure of novel grating tiling device for maximum ranges of grating movements based on the multibody system approach
Summary
The increasing need for high inertia and ultra-precision in optical devices of observational instruments motivates researchers to develop new design of grating tiling device [1]. In previous works, modelling and design of the grating devices was carried out using finite element analysis (FEA) [5,6]. The grating devices exhibit definite rigid body motion as well as elastic deformations that might be considered relatively small according to the device movement. It was pointed out in reference [7] that the multibody dynamics approach may be the most suitable for modeling the system. In contrast to the finite element method, the MBS approach is the best-suited for modeling dynamic systems that exhibit rigid body motion with definite rotation as well as small and/or large deformation [11,12].
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