• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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• pp.493-500
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• 2001

The purpose of this paper is to investigate the natural frequencies and mode shapes of tapered beams with general boundary condition(translational and rotational elastic support) at one end and carrying a tip mass with translational elastic support at the other end. The beam model is based on the classical Bernoulli-Euler beam theory which neglects the effects of rotatory inertia and shear deformation. The governing differential equation for the free vibrations of linearly tapered beams is solved numerically using the corresponding boundary conditions. Numerical results are compared with existing solutions by other methods for cases in which they are available. The lowest three natural frequencies and the corresponding mode shapes are calculated over a wide range of section ratio, dimensionless spring constant, and mass ratio.

• 한국운동역학회지
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• 제28권1호
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• pp.61-67
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• 2018

Objective: The human body is often modelled as a spring-mass system. Lower extremity stiffness has been considered to be one of key factor in the performance enhancement of running, jumping, and hopping involved sports activities. There are several different classification of lower extremity stiffness consisting of vertical stiffness, leg stiffness, joint stiffness, as well as muscle and tendon stiffness. The primary purpose of this paper was to review the literature and describe different stiffness models and discuss applications of stiffness models while engaging in sports activities. In addition, this paper provided a current update of the lower extremity literature as it investigates the relationships between lower extremity stiffness and both functional performance and injury. Summary: Because various methods for measuring lower extremity stiffness are existing, measurements should always be accompanied by a detailed description including type of stiffness, testing method and calculation method. Moreover, investigator should be cautious when comparing lower extremity stiffness from different methods. Some evidence highlights that optimal degree of lower extremity stiffness is required for successful athletic performance. However, the actual magnitude of stiffness required to optimize performance is relatively unexplored. Direct relationship between lower extremity stiffness and lower extremity injuries has not clearly been established yet. Overall, high stiffness is potentially associate risk factors of lower extremity injuries although some of the evidence is controversial. Prospective injures studies are necessary to confirm this relationship. Moreover, further biomechanical and physiological investigation is needed to identify the optimal regulation of the lower limb stiffness behavior and its impact on athletic performance and lower limb injuries.

• 한국지반공학회논문집
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• 제26권1호
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• pp.45-54
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• 2010

말뚝 구조물의 동적 거동을 분석하고 지진파에 대한 공진 안정성을 확보하기 위해서는 고유 진동수를 합리적으로 산정하는 것이 중요하다. 본 연구에서는 간단한 질량 - 스프링 모델을 이용하여 지진 하중을 받는 말뚝 구조물의 고유 진동수를 간편하면서도 효율적으로 예측할 수 있는 방법을 모색하였다. 고유진동수 산정 결과에 큰 영향을 미치는 지반-말뚝 간 스프링 강성을 지반반력상수와 p-y 곡선 그리고 지반 탄성계수 등을 이용하여 결정하고, 이들을 이용하여 계산한 고유진동수를 1g 진동대 실험에서 계측한 고유진동수와 비교한 결과, 지반반력상수를 이용한 Reese(1974) 방법과 동적 p-y 중추 곡선을 이용한 Yang(2009)의 방법을 이용하여 스프링 강성을 산정하는 것이 가장 우수한 결과를 나타내었는데, 건조토에 위치한 말뚝구조물에서는 5% 이내의 오차를 보였으며, 포화토에 위치한 말뚝 구조물의 경우에는 진동 중에 과잉간극수압의 발생여부에 따라 5%에서 40% 사이의 오차를 나타내었다.

• 드라이브 ㆍ 컨트롤
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• 제19권3호
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• pp.39-46
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• 2022

In South Korea, to evaluate the rollover safety of domestic vehicles, the maximum slope angle of the vehicle is specified, which is verified by the rollover safety test of driving vehicles. However, the domestic rollover safety test is not suitable for buses, because the small amount of static stability factor (SSF) will invalidate the rollover experimental equation due to the high center of mass position of buses. To solve the above problems, a dynamic model of the bus is prepared with assumptions of mass and suspension spring properties. Subsequently, the maximum slope angle of the model was computed by using the simulation of multi-body dynamics, and the result was compared with actual test results to validate the dynamics model. Also, the rollover Fishhook (roll stability) test was conducted in the simulation for driving model. During the simulation, roll angle and roll rate were calculated to check if a rollover occurred. Through the rollover simulation of buses, the domestically regulated formula for rollover safety and the procedure of rollover test for driving vehicles are evaluated. The conclusion is that the present regulation of rollover test should be reconsidered for buses to ensure to get the valid results for rollover safety.

• Journal of Electrical Engineering and Technology
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• 제11권6호
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• pp.1787-1792
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• 2016

Previous walking pattern generation methods could generate walking patterns that allow only straight walking on flat and uneven terrain. They were unable to generate modifiable walking patterns whereby the sagittal and lateral step lengths and walking direction can be changed at every footstep. This paper proposes a novel walking pattern generation method to realize modifiable walking of humanoid robots on unknown uneven terrain. The proposed method employs a walking pattern generator based on the 3-D linear inverted pendulum model (LIPM), which enables a humanoid robot to vary its walking patterns at every footstep. A control strategy for walking on unknown uneven terrain is proposed. Virtual spring-damper (VSD) models are used to compensate for the disturbances that occur between the robot and the terrain when the robot walks on uneven terrain with unknown height. In addition, methods for generating the foot and vertical center of mass (COM) of the 3-D LIPM trajectories are developed to realize stable walking on unknown uneven terrain. The proposed method is implemented on a small-sized humanoid robot platform, DARwIn-OP and its effectiveness is demonstrated experimentally.

• 한국터널지하공간학회 논문집
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• 제13권5호
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• pp.413-430
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• 2011

최근 들어, 폭발하중에 대해여 안전한 사회기반시설에 대한 관심이 증가하고 있다. 폭발하중은 가스폭발이나 폭탄 폭발에 의하여 발생된다. 본 연구에서는 가스폭발하중을 받는 터널구조물을 각 부재로 나누어 1자유도 질량-스프링-감쇠기 모델로 치환하여 해석하는 모델을 개발하였다. 간이 모델을 사용하여 터널설계 요인인 최대 폭발하중크기, 지속시간, 부재 두께, 토피고에 대하여 민감도 해석을 수행하였다. 또한, 유한요소법을 사용하여 가스폭발에 대한 터널의 동적거동과 주변지반에 발생되는 파괴영역에 대하여 조사하였다. 1자유도 질량-스프링-감쇠기 모델과 FEM 해석결과의 비교로부터 터널의 중앙벽에 대한 동적거동결과는 거의 차이가 없음을 보여주었다.

• 비파괴검사학회지
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• 제21권3호
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• pp.269-276
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• 2001

복합재료의 초음파검사는 매직의 탄성이방성으로 인해 빔스큐(beam skew)현상 등이 발생하기 때문에 등방성 재료의 검사에 비해 훨씬 어렵다. 그 동안의 많은 연구의 결과로서 이방성 재료 네 탄성파의 전파 현상에 대한 해석해법이 정립되어 있으나, 그 해석해가 매우 복잡하여 실제 문제의 해를 구하기 위해서는 수치적인 방법에 의존하여야 하는 경우가 많다. 본 연구에서는 횡등방 이방성(transversely isotropic)으로 가정할 수 있는 단일방향 섬유 복합재료 내 점원에 의한 초음파 전파의 해석해를 먼저 구하고, 이러한 복합재료를 질량-스프링 모델로 모델링하여 해석해에 상응하는 수치해를 구하였다. 그 결과, 초음파의 전파에 대한 수치해와 해석해가 매우 잘 일치하는 것을 확인하였다. 동일한 수치해석법을 사용하여 초음파가 복합재료의 자유표면에서 반사되는 현상과 균일에 의해 산란되는 현상에 대한 수치해도 구하였으며 그 결과를 파동역학의 관점에서 고찰하였다. 본 연구에서 그 유효성이 확인된 수치 모델은 복합재료의 초음파검사를 시뮬레이션 함에 있어 매우 유용하게 사용될 수 있을 것이다.

• Steel and Composite Structures
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• 제26권6호
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• pp.771-791
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• 2018

This paper deals with the low velocity impact response and dynamic stresses of composite sandwich truncated conical shells (STCS) with compressible or incompressible core. Impacts are assumed to occur normally over the top face-sheet and the interaction between the impactor and the structure is simulated using a new equivalent three-degree-of-freedom (TDOF) spring-mass-damper (SMD) model. The displacement fields of core and face sheets are considered by higher order and first order shear deformation theory (FSDT), respectively. Considering continuity boundary conditions between the layers, the motion equations are derived based on Hamilton's principal incorporating the curvature, in-plane stress of the core and the structural damping effects based on Kelvin-Voigt model. In order to obtain the contact force, the displacement histories and the dynamic stresses, the differential quadrature method (DQM) is used. The effects of different parameters such as number of the layers of the face sheets, boundary conditions, semi vertex angle of the cone, impact velocity of impactor, trapezoidal shape and in-plane stresses of the core are examined on the low velocity impact response of STCS. Comparison of the present results with those reported by other researchers, confirms the accuracy of the present method. Numerical results show that increasing the impact velocity of the impactor yields to increases in the maximum contact force and deflection, while the contact duration is decreased. In addition, the normal stresses induced in top layer are higher than bottom layer since the top layer is subjected to impact load. Furthermore, with considering structural damping, the contact force and dynamic deflection decrees.

• 수산해양기술연구
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• 제58권1호
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• pp.19-31
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• 2022

Damages by jellyfish are occurring frequently around the world. Among them, accidents caused by jellyfish stings are serious enough to cause death. So we designed a jellyfish blocking net and analyzed its stability to prevent sting caused by jellyfish entering the beach. To this end, the dynamic behavior of the jellyfish blocking net according to the current speed (0.25-1.0 m/s) and the net type (50, 100 and 150 mm) on the upper part of the blocking net was modeled using the mass spring model. As a result of simulations for the model, the horizontal tension (horizontal component of the mooring tension) of the mooring line increased with the decrease in the mesh size on the upper part of the blocking net at all current speeds, but exceeded the holding force at high tides faster than 0.5 m/s and exceeded the holding force at all current speeds at low tide. Therefore, the jellyfish blocking nets showed poor stability overall. The depth of the float line had a little difference according to the upper mesh size and increased lineary proportional to the current speed. However, the float line sank too much to block the incoming jellyfish. These analysis results helped us find ways to improve the stability of the jellyfish blocking net, such as adjusting the length of the mooring line and improving the holding power. Therefore, it is expected that this technology will be applied us various underwater structures to discover the weaknesses of the structures and contribute to increasing the stability in the future.

• Structural Engineering and Mechanics
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• 제53권3호
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• pp.537-573
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• 2015

Multiple-step beams carrying intermediate lumped masses with/without rotary inertias are widely used in engineering applications, but in the literature for free vibration analysis of such structural systems; Bernoulli-Euler Beam Theory (BEBT) without axial force effect is used. The literature regarding the free vibration analysis of Bernoulli-Euler single-span beams carrying a number of spring-mass systems, Bernoulli-Euler multiple-step and multi-span beams carrying multiple spring-mass systems and multiple point masses are plenty, but that of Timoshenko multiple-step beams carrying intermediate lumped masses and/or rotary inertias with axial force effect is fewer. The purpose of this paper is to utilize Numerical Assembly Technique (NAT) and Differential Transform Method (DTM) to determine the exact natural frequencies and mode shapes of the axial-loaded Timoshenko multiple-step beam carrying a number of intermediate lumped masses and/or rotary inertias. The model allows analyzing the influence of the shear and axial force effects, intermediate lumped masses and rotary inertias on the free vibration analysis of the multiple-step beams by using Timoshenko Beam Theory (TBT). At first, the coefficient matrices for the intermediate lumped mass with rotary inertia, the step change in cross-section, left-end support and right-end support of the multiple-step Timoshenko beam are derived from the analytical solution. After the derivation of the coefficient matrices, NAT is used to establish the overall coefficient matrix for the whole vibrating system. Finally, equating the overall coefficient matrix to zero one determines the natural frequencies of the vibrating system and substituting the corresponding values of integration constants into the related eigenfunctions one determines the associated mode shapes. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the differential equations of the motion. The calculated natural frequencies of Timoshenko multiple-step beam carrying intermediate lumped masses and/or rotary inertias for the different values of axial force are given in tables. The first five mode shapes are presented in graphs. The effects of axial force, intermediate lumped masses and rotary inertias on the free vibration analysis of Timoshenko multiple-step beam are investigated.