• Steel and Composite Structures
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• 제43권1호
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• pp.91-106
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• 2022

This paper has focused on presenting a three dimensional theory of elasticity for free vibration of 3D-graphene foam reinforced polymer matrix composites (GrF-PMC) cylindrical panels resting on two-parameter elastic foundations. The elastic foundation is considered as a Pasternak model with adding a Shear layer to the Winkler model. The porous graphene foams possessing 3D scaffold structures have been introduced into polymers for enhancing the overall stiffness of the composite structure. Also, 3D graphene foams can distribute uniformly or non-uniformly in the shell thickness direction. The effective Young's modulus, mass density and Poisson's ratio are predicted by the rule of mixture. Three complicated equations of motion for the panel under consideration are semi-analytically solved by using 2-D differential quadrature method. The fast rate of convergence and accuracy of the method are investigated through the different solved examples. Because of using two-dimensional generalized differential quadrature method, the present approach makes possible vibration analysis of cylindrical panels with two opposite axial edges simply supported and arbitrary boundary at the curved edges. It is explicated that 3D-GrF skeleton type and weight fraction can significantly affect the vibrational characteristics of GrF-PMC panel resting on two-parameter elastic foundations.

• Advances in concrete construction
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• 제14권3호
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• pp.169-183
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• 2022

In this article, vibrational behavior and wave propagation characteristics in (FG) functionally graded plates resting on Kerr foundation with three parameters is studied using a 2D dimensional (HSDT) higher shear deformation theory. The new 2D higher shear deformation theory has only four variables in field's displacement, which means has few numbers of unknowns compared with others theories. The shape function used in this theory satisfies the nullity conditions of the shear stresses on the two surfaces of the FG plate without using shear correction factors. The FG plates are considered to rest on the Kerr layer, which is interconnected with a Pasternak-Kerr shear layer. The FG plate is materially inhomogeneous. The material properties are supposed to vary smoothly according to the thickness of the plate by a Voigt's power mixing law of the volume fraction. The equations of motion due to the dynamics of the plate resting on a three-parameter foundation are derived using the principle of minimization of energies; which are then solved analytically by the Navier technique to find the vibratory characteristics of a simply supported plate, and the wave propagation results are derived by using the dispersion relations. Perceivable numerical results are fulfilled to evaluate the vibratory and the wave propagation characteristics in functionally graded plates and some parameters such wave number, thickness ratio, power index and foundation parameters are discussed in detail.

• 한국강구조학회 논문집
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• 제26권3호
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• pp.177-189
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• 2014

최근 강재의 고강도화를 통한 부재 단면 사이즈의 절감은 종종 강성의 부족으로 이어져 과도한 처짐이나 진동문제를 야기한다. 따라서 적절한 설계나 예방을 통해 구조물의 바닥진동에 대한 보완이 필수적이다. 이러한 바닥진동 문제를 해결하기 위해 동조질량감쇠기가 종종 쓰이고 있다. 동조질량감쇠기는 바닥의 진동수에 대해 정확히 설계되었을 때에는 효율적으로 바닥진동을 제어할 수 있다. 하지만 바닥질량의 크기와 외부하중의 특성에 따라 바닥의 진동수가 수시로 변하는 경우에는 그 효율이 급격히 낮아질 가능성이 있다. 이러한 현상을 동조이탈이라고 한다. 본 연구는 실제 바닥에 가해지는 하중의 변화에 따라 바닥의 진동수가 달라지는 양상을 실험을 통해 고찰한다. 실험 바닥에 기존의 단일동조질량감쇠기를 적용하여 단일동조질량 감쇠기의 한계인 동조이탈현상을 확인한다. 또한, 바닥진동제어의 강건성을 확보하기 위해 진동수의 불확실성을 반영한 비대칭 동조질량감쇠기의 활용을 제안한다. TMD의 강건성이란 진동수가 변화하는 상황에서 바닥진동제어 성능이 얼마나 지속되느냐를 뜻한다. 제안된 비대칭 TMD는 두 개의 비대칭 강성을 가지고 있기 때문에 병진운동과 회전운동을 하면서 진동에너지를 소산한다. 제안된 비대칭TMD의 최적화 결과, 비대칭TMD는 기존 STMD에 비해 28%이상의 진동제어성능을 확보하였으며, 외부의 환경 변화에 대한 강건성은 약 1.4배 개선되었다.