• 대한기계학회논문집
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• 제16권11호
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• pp.2011-2020
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• 1992

본 연구에서는 실용성을 중시하는 산업계의 요구에 부응하여 해석이 용이하면 서도 강인성을 갖춘 제어 알고리즘을 제안하여 실시간 제어가 가능한 시스템을 구축해 실험적으로 검토하였다. 매니퓰레이터와 서보계의 다이내믹스를 나타내는 미분방정 식은 선형요소와 비선형요소의 합으로 생각할 수 있다. 여기서 매니퓰레이터의 비선 형요소를 외란으로 간주해 슬라이딩 모드를 적용하므로 매니퓰레이터의 자유도가 높아 도 비교적 간단히 슬라이딩 모드의 존재 조건식으로 부터 절환 파라미터가 구해져 슬 라이딩 모드를 발생시킬 수 있는 알고리즘을 도출할 수가 있음을 보였다. 비선형요 소를 외란으로 간주하였을때 로보트 매니퓰레이터가 슬라이딩 모드에 들어갈 수 있도 록 외란에 대응하는 절환 제어입력을 종래의 방식대로 부가하면 이 제어입력으로 인해 채터링(chattering)이 증가하게 됨이 확인되었으며, 이러한 채터링을 줄일 수 있도록 새로운 절환 제어입력의 알고리즘을 도출하여 검토하였다.

• Structural Engineering and Mechanics
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• 제75권6호
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• pp.747-769
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• 2020

This paper provides a semi-analytical approach to investigate the variations of 3D displacement components, electric potential, stresses, electric displacements and transverse vibration frequencies in laminated piezoelectric composite plates based on the scaled boundary finite element method (SBFEM) and the precise integration algorithm (PIA). The proposed approach can analyze the static and dynamic responses of multilayered piezoelectric plates with any number of laminae, various geometrical shapes, boundary conditions, thickness-to-length ratios and stacking sequences. Only a longitudinal surface of the plate is discretized into 2D elements, which helps to improve the computational efficiency. Comparing with plate theories and other numerical methods, only three displacement components and the electric potential are set as the basic unknown variables and can be represented analytically through the transverse direction. The whole derivation is built upon the three dimensional key equations of elasticity for the piezoelectric materials and no assumptions on the plate kinematics have been taken. By virtue of the equilibrium equations, the constitutive relations and the introduced set of scaled boundary coordinates, three-dimensional governing partial differential equations are converted into the second order ordinary differential matrix equation. Furthermore, aided by the introduced internal nodal force, a first order ordinary differential equation is obtained with its general solution in the form of a matrix exponent. To further improve the accuracy of the matrix exponent in the SBFEM, the PIA is employed to make sure any desired accuracy of the mechanical and electric variables. By virtue of the kinetic energy technique, the global mass matrix of the composite plates constituted by piezoelectric laminae is constructed for the first time based on the SBFEM. Finally, comparisons with the exact solutions and available results are made to confirm the accuracy and effectiveness of the developed methodology. What's more, the effect of boundary conditions, thickness-to-length ratios and stacking sequences of laminae on the distributions of natural frequencies, mechanical and electric fields in laminated piezoelectric composite plates is evaluated.