In this paper, the effect of a dynamic vibration absorber to suppress the response of a base excitation vibration system composed of a cubic nonlinear spring and a friction damper is investigated. And the dynamic absorber consists of a linear spring and a viscose damper. The mathematical models of these systems are governed by second order nonlinear ordinary differential equations. The response characteristics of the system are analyzed using the slowly changing phase and amplitude(SCPA) method, which is one of the averaging methods. As a function of the friction force ratio, It was obtained the locking frequency at which the relative motion starts was obtained, and the regions where the locking occurred. The displacement transmissibility was investigated according to the change of the design parameter, and the optimal design parameters could be found to minimize the displacement transmissibility.
In this paper, we study the applicability of Tuned Mass Damper(TMD) to improve seismic performance of piping system under earthquake loading. For this purpose, a mode analysis of the target pipeline is performed, and TMD installation locations are selected as important modes with relatively large mass participation ratio in each direction. In order to design the TMD at selected positions, each corresponding mode is replaced with a SDOF damped model, and accordingly the corresponding pipeline is converted into a 2-DOF system by considering the TMD as a SDOF damped model. Then, optimal design values of the TMD, which can minimize the dynamic amplification factor of the transformed 2-DOF system, are derived through GA optimization method. The proposed TMD design values are applied to the pipeline numerical model to analyze seismic performance with and without TMD installation. As a result of numerical analyses, it is confirmed that the directional acceleration responses, the maximum normal stresses and directional reaction forces of the pipeline system are reduced, quite a lot. The results of this study are expected to be used as basic information with respect to the improvement of the seismic performance of the piping system in the future.
This paper is focused on an optimal design of two degree of freedom (2-DOF) dynamic vibration absorber (DVA) for the simply supported damped beam subject to a harmonic force excitation. In order to achieve this aim, we first show how to define the objective function of optimal design problem for 2-DOF DVA. Second, we apply the cyclic topology-based particle swarm optimization (PSO) to find the optimal design parameters of 2-DOF DVA. Finally, some numerical results are compared with those of conventional researches, which demonstrates a reliability of the proposed design method
From comparing the impact dynamic absorber with the impact damper in the auxiliary vibration system with the conventional dynamic absorber, the following conclusions are obtained as follows ; 1. Recognizing that the amplitude restraining effect of the impact dynamic absorber become resonable in a comparison of conventional one development of an improved dynamic absorber may be probable. 2. With increasing the frequency ratio, the 1st resonance peak is higher but the 2nd one gets lower. In addition, the frequency ratio is peak located at the same resonance. 3. The optimum impact clearance is smaller and the vibration constraining effect becomes better with and increase in the mass of impact ball. And it is recognizable that the optimum tuning frequency ratio and impact clearance in an accordance with the mass ratio are varied. 4. The optimum tuning condition becomes gradually lower than the case of r=1 and maximum amplitude becomes lower with an increment in the mass ratio. However, the impulse clearance is larger and the working range of restraining vibration amplitude become smaller with a decrement in the mass of impact ball.
주진동계인 외팔보의 자유단에 부진동계인 부가질량을 설치하여 부가질량의 크기와 충격 틈새 및 접촉면적을 변화시켜 그때의 진동진폭 특성을 실험함으로써 밝혀진 결과들을 요약하면 다음과 같다. 1) 부가질량의 상하 충격작용이 계의 진동진폭 감소에 상당히 큰 효과가 있으며 일종의 충격감쇠기로써 사용할 수 있음이 실험적으로 확인되었다. 2) 부가질량이 같을 때 충격틈새를 적절히 조정함으로써 진동진폭을 감소시킬 수 있다. 3) 충격 틈새가 일정할 때, 부가질량이 클수록 진동진폭은 감소하지만, 특정 조건에서는 부가질량이 작아도 진폭 감소효과가 크다. 4) 부가질량과 충격틈새가 일정한 조건에서 그 틈새가 작을 때 (1mm, 2mm) 부가질량의 접촉마찰면적이 클수록 진동진폭은 감소한다. 5) 계의 진동진폭 감소가 클 때, 주진동계와 부가질량의 진동진폭에는 위상차가 발생하며 충격감쇠 효과가 가장 클 때 위상차도 최대로 된다. 6) 일반적으로 부가질량이 클수록 진폭은 감소한다. 향후의 연구과제로서 충격시의 소음을 감소시키며 감쇠작용을 증가시키기 위해 접촉면에 적절한 방진고무를 설치하여 그때의 진동 감소 특성을 구명할 것이 요구된다. 이러한 일련의 기초연구를 통하여 목적으로 하고 있는 충격식 동흡진기의 설계 및 이에 대한 실험을 수행할 것이다.