• Title/Summary/Keyword: 3 degree of freedom

Search Result 653, Processing Time 0.023 seconds

Linear Stability Analysis of an Out-of-plan Motion of Vibration of a Two Degree-of-freedom with Contact Stiffness (마찰기인 접촉 강성을 가지는 2-자유도계 면외 방향 진동 시스템의 선형 안정성 해석)

  • Joe, Yong-goo;Shin, Ki-hong;Lee, Hyun-young;Oh, Jae-Eung;Lee, Su-Gab
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.15 no.3 s.96
    • /
    • pp.259-265
    • /
    • 2005
  • A two-degree-of-freedom out-of-plane model with contact stiffness is presented to describe dynamical interaction between the pad and disc of a disc brake system. It is assumed that the out-of-plane motion of the system depends on the friction force acting along the in-plane direction. Dynamic friction coefficient is modelled as a function of both in-plane relative velocity and out-of-plane normal force. When the friction coefficient depends only on the relative velocity, the contact stiffness has the role of negative stiffness. The results of stability analysis show that the stiffness of both pad and disc is equally important. Complex eigen value analysis is conducted for the case that the friction coefficient is also dependent on the normal force. The results further verify the importance of the stiffness. It has also been found that increasing the gradient of friction coefficient with respect to the normal force makes the system more unstable.

Fluid-Oscillation Coupled Analysis for HAWT Rotor Blade (One Degree of Freedom Weak Coupling Analysis with Hinge-Spring Model)

  • Imamura, Hiroshi;Hasegawa, Yutaka;Murata, Junsuke;Chihara, Sho;Takezaki, Daisuke;Kamiya, Naotsugu
    • International Journal of Fluid Machinery and Systems
    • /
    • v.2 no.3
    • /
    • pp.197-205
    • /
    • 2009
  • Since large-scale commercial wind turbine generator systems such as MW-class wind turbines are becoming widely operated, the vibration and distortion of the blade are becoming larger and larger. Therefore the soft structure design instead of the solid-design is one of the important concepts to reduce the structural load and the cost of the wind turbine rotors. The objectives of the study are development of the fluid-structure coupled analysis code and evaluation of soft rotor-blade design to reduce the unsteady structural blade load. In this paper, fluid-structure coupled analysis for the HAWT rotor blade is performed by free wake panel method coupled with hinge-spring blade model for the flapwise blade motion. In the model, the continuous deflection of the rotor blade is represented by flapping angle of the hinge with one degree of freedom. The calculation results are evaluated by comparison with the database of the NREL unsteady aerodynamic experiment. In the analysis the unsteady flapwise moments in yawed inflow conditions are compared for the blades with different flapwise eigen frequencies.

Dynamic modeling of rubber elements in an engine mount system (엔진 마운트용 고무의 동역학적 모델링)

  • 박석태;정경렬;이종원;김광준
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.10 no.5
    • /
    • pp.689-697
    • /
    • 1986
  • In the present work a three degree of freedom modeling of a cylindrical rubber element is studied and its applications to an engine mount system are discussed using a simple test structure. The three degree of freedom model for the rubber mount is composed of three mutually orthogonal springs and dampers jointed at the elastic center of the mount. The test structure is designed and manufactured so simple that its mass center and moment of inertia are accurately and easily obtained. The dynamic properties of each rubber mount, i.e., complex stiffnesses, are experimentally identified using hydraulic exciter and used to predict the modal parameters of the test structure mount system by analytical modal analysis. The predicted modal parameters of the system agree well with those estimated by experimental modal analysis. Hence the three DOF model of the rubber mount is proposed for the practical design of an engine mount system.

Identification of nonlinear elastic structures using empirical mode decomposition and nonlinear normal modes

  • Poon, C.W.;Chang, C.C.
    • Smart Structures and Systems
    • /
    • v.3 no.4
    • /
    • pp.423-437
    • /
    • 2007
  • The empirical mode decomposition (EMD) method is well-known for its ability to decompose a multi-component signal into a set of intrinsic mode functions (IMFs). The method uses a sifting process in which local extrema of a signal are identified and followed by a spline fitting approximation for decomposition. This method provides an effective and robust approach for decomposing nonlinear and non-stationary signals. On the other hand, the IMF components do not automatically guarantee a well-defined physical meaning hence it is necessary to validate the IMF components carefully prior to any further processing and interpretation. In this paper, an attempt to use the EMD method to identify properties of nonlinear elastic multi-degree-of-freedom structures is explored. It is first shown that the IMF components of the displacement and velocity responses of a nonlinear elastic structure are numerically close to the nonlinear normal mode (NNM) responses obtained from two-dimensional invariant manifolds. The IMF components can then be used in the context of the NNM method to estimate the properties of the nonlinear elastic structure. A two-degree-of-freedom shear-beam building model is used as an example to illustrate the proposed technique. Numerical results show that combining the EMD and the NNM method provides a possible means for obtaining nonlinear properties in a structure.

A study on the efficient simulation methods for an automatic power transmission system applying dynamic torque constraint (동적 구속조건을 적용한 자동변속장치의 효과적인 시뮬레이션방법에 관한 연구)

  • Jeong, Heon-Sul;Lee, Kyo-Ill
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.22 no.3
    • /
    • pp.504-518
    • /
    • 1998
  • Degree-Of-Freedom(DOF) for most power transmission system varies according to the operation status which consists of friction elements to change the power flow or to adjust the speed ratio such as clutches, brakes or one-way clutches. To simulate the dynamic characteristics of automatic power transmission system which is a typical example of such a variable DOF systems, many sets of governing equations and complicated phase decision routines are necessary. In this paper dynamic constraint theorem is derived explaining the torque transmission characteristics during the clutch engagement process and a robust stable algorithm is developed describing this phase transition phenomenon effectively by introducing the concept of direct torque and virtual damping. Finally, applying this algorithm to a passenger car automatic transmission gear consisting of several friction elements, an efficient simulation methods for such a complex system will be suggested that is very simple and systematic.

Vibration isolation with smart fluid dampers: a benchmarking study

  • Batterbee, D.C.;Sims, N.D.
    • Smart Structures and Systems
    • /
    • v.1 no.3
    • /
    • pp.235-256
    • /
    • 2005
  • The non-linear behaviour of electrorheological (ER) and magnetorheological (MR) dampers makes it difficult to design effective control strategies, and as a consequence a wide range of control systems have been proposed in the literature. These previous studies have not always compared the performance to equivalent passive systems, alternative control designs, or idealised active systems. As a result it is often impossible to compare the performance of different smart damper control strategies. This article provides some insight into the relative performance of two MR damper control strategies: on/off control and feedback linearisation. The performance of both strategies is benchmarked against ideal passive, semi-active and fully active damping. The study relies upon a previously developed model of an MR damper, which in this work is validated experimentally under closed-loop conditions with a broadband mechanical excitation. Two vibration isolation case studies are investigated: a single-degree-of-freedom mass-isolator, and a two-degree-of-freedom system that represents a vehicle suspension system. In both cases, a variety of broadband mechanical excitations are used and the results analysed in the frequency domain. It is shown that although on/off control is more straightforward to implement, its performance is worse than the feedback linearisation strategy, and can be extremely sensitive to the excitation conditions.

Feasibility Study on a Damage Assessment of Underground Structures by Ground Shock Using the Fast Running Model (지중파에 의한 지하 구조물의 부재피해평가를 위한 고속해석모델 적용 가능성 연구)

  • Sung, Seung-Hun;Chong, Jin-Wung
    • Journal of the Korea Institute of Military Science and Technology
    • /
    • v.21 no.3
    • /
    • pp.279-287
    • /
    • 2018
  • This study investigated applicability of the fast running model for damage assessment of underground structures by ground shock. For this reason, the fast running model that consists of two main models such as the ground shock generation and propagation model and the underground structural damage assessment model was developed. The ground shock generation and propagation model was programed using theoretical formula and empirical formula introduced in TM5-855-1(US army manual). The single degree of freedom model of structural components was utilized to predict structural dynamic displacements which are used as index to assess damage level of components. In order to confirm the feasibility of the developed fast running model, underground structural dynamic displacements estimated from the fast running model were compared to displacements obtained from the finite element analysis.

Seismic Response of MDOF Structure with Shallow Foundation Using Winkler Model (Winkler Model을 적용한 얕은 기초 다자유도 구조물의 지진응답)

  • Kim, Dong Kwan;Kim, Ho Soo;Min, Ji Hee;Park, Jin Young
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.28 no.4
    • /
    • pp.165-170
    • /
    • 2024
  • This study investigated the impact of soil-structure interaction on multi-degree-of-freedom structures using the shallow-foundation Winkler model, known as the BNWF model. The model's period was determined through eigenvalue analysis and compared to results obtained from FEMA's formula. Results indicated that considering the soil, the structure's period increased by up to 8.7% compared to the fixed-base model, aligning with FEMA's calculations. Furthermore, with adequate ground acceleration, roof displacement increased by 3.4% to 3.8%, while base shear decreased by 4% to 10%. However, roof displacement and base shear increased in some earthquake scenarios due to spectral shape effects in regions with extended structural periods. Foundation damping effects, determined through the foundation's moment-rotation history, grew with higher ground acceleration. This suggests that accounting for period elongation and foundation damping can enhance the seismic design of multi-degree-of-freedom structures.

Quantitative Analysis of Initial Dispersion Condition Effects on Randomness of Magnus Rotor Bomblet (Magnus Rotor 자탄의 초기 방출조건이 분산도에 미치는 영향에 대한 정량적 분석)

  • Bai, Ikhyun
    • Journal of the Korea Society for Simulation
    • /
    • v.28 no.3
    • /
    • pp.83-89
    • /
    • 2019
  • This research describes quantitative effects of initial dispersion conditions upon the dispersion randomness of Magnus rotor bomblets. Ratios of the missile spin rate to the missile velocity, a, flight path angles, ${\gamma}$ and altitudes, h, were changed to investigate their effects on dispersion randomness. Dispersion was analyzed through calculation of 6 degree of freedom motion equation with aerodynamic coefficients from wind tunnel experiments. In order to analyze the randomness, regression analysis is adopted to calculate the coefficient of determination. The optimized ratio of the missile spin rate to the missile velocity and flight path angle were obtained and the dispersion altitudes had more effect on the dispersion diameter and had less effect on dispersion than other parameters.

Six-degree-of-freedom Haptic Rendering using Translational and Generalized Penetration Depth Computation (선형 및 일반형 침투깊이를 이용한 6자유도 햅틱 렌더링 알고리즘)

  • Li, Yi;Lee, Youngeun;Kim, Young J.
    • The Journal of Korea Robotics Society
    • /
    • v.8 no.3
    • /
    • pp.173-178
    • /
    • 2013
  • We present six-degree-of-freedom (6DoF) haptic rendering algorithms using translational ($PD_t$) and generalized penetration depth ($PD_g$). Our rendering algorithm can handle any type of object/object haptic interaction using penalty-based response and makes no assumption about the underlying geometry and topology. Moreover, our rendering algorithm can effectively deal with multiple contacts. Our penetration depth algorithms for $PD_t$ and $PD_g$ are based on a contact-space projection technique combined with iterative, local optimization on the contact-space. We circumvent the local minima problem, imposed by the local optimization, using motion coherence present in the haptic simulation. Our experimental results show that our methods can produce high-fidelity force feedback for general polygonal models consisting of tens of thousands of triangles at near-haptic rates, and are successfully integrated into an off-the-shelf 6DoF haptic device. We also discuss the benefits of using different formulations of penetration depth in the context of 6DoF haptics.