• 대한기계학회논문집
• /
• 제19권3호
• /
• pp.623-630
• /
• 1995

The impulse response functions (force-strain relations) for Euler-Bernoulli and Timoshenko beams are considered. The response of a beam to a transverse impact force is numerically obtained with the convolution approach using the impulse response function obtained by Laplace transform. Using this relation, the impact force history is determined in the time domain and results are compared with those from Hertz's contact law. The parameters of timpact force model are identified using the recovered force and compared with the Hertz's contact model. In order to verify the proposed algorithm, measurements were done using an impact hammer and a steel ball drop test and these results are also compared with the simulated values.

• Journal of Mechanical Science and Technology
• /
• 제19권spc1호
• /
• pp.422-428
• /
• 2005

In this paper, the contact force between two colliding bodies is modeled by using Hertz's force-displacement law and nonlinear damping function. In order to verify the appropriateness of the proposed contact force model, the drop type impact test is carried out for different impact velocities and different materials of the impacting body, such as rubber, plastic and steel. In the drop type impact experiment, six photo interrupters in series close to the collision location are installed to measure the velocity before impact more accurately. The characteristics of contact force model are investigated through experiments. The parameters of the contact force model are estimated using the optimization technique. Finally the estimated parameters are used to predict the impact force between two colliding bodies in opening action of the magnetic contactor, a kind of switch mechanism for switching electric circuits.

• 한국자동차공학회논문집
• /
• 제9권6호
• /
• pp.152-159
• /
• 2001

In multibody dynamic analysis including contact and impact, there are two major analysis methods, i.e., piecewise analysis and continuous analysis. Modeling of contact phenomena is mainly classified with a Kelvin-Voigt model or a model of Hertz contact model. In this paper, a contact module fur AutoDyn7 program was developed and implemented. Both the Kelvin-Voigt model and a model of Hertz contact law were developed. The process of this module is composed of contact distinction and the contact force calculation. Two examples were verified and compared to the commercial program DADS.

• 한국항공우주학회지
• /
• 제30권7호
• /
• pp.44-50
• /
• 2002

본 논문에서는 저속충격을 받는 복합재 샌드위치 평판의 동적 거동에 관한 연구를 수행하였다. 접촉 하중의 산출을 위해서 Hertz의 접촉법칙을 새로이 수정하는 방법을 제시했는데, 지수를 줄이는 방법과 심재의 두께방향의 탄성계수의 값을 줄여 등가 탄성계수를 계산하는 방법을 사용했다. 접촉하중을 산출하는 비선형 방정식은 Newton-Raphson 방법을 사용하여 계산하였고, 시간적분에는 Newmark-beta 방법을 사용하였다. 이러한 기법과 18절점 가정변형률 솔리드 요소를 적용하여 저속충격 해석용 유한요소 프로그램을 개발했다. 이 프로그램을 이용하여 다양한 복합재 샌드위치 평판의 저속충격에 대한 동적 거동을 해석하였다. 제안된 접촉법칙을 적용한 해석결과를 분석하여 볼 때, 대부분의 경우에서 접촉하중과 접촉시간이 실험결과와 대체로 일치함을 확인하였다.

• Composites Research
• /
• 제16권1호
• /
• pp.50-57
• /
• 2003

저속충격을 받는 복합적층판의 충격거동을 해석하기 위하여 많은 연구자들이 수정된 Hertz의 접촉법칙이나 실험적으로 구한 정적압입법칙을 사용하여 왔다. 본 연구에서는 이들이 사용했던 충격해석방법에 대만 물리적 의미를 고찰하였으며, 두 법칙의 차이가 실제로 적층판의 충격거동해석에 미치는 영향을 고찰하였다. 나아가 접촉법칙에 사용되는 접촉상수 및 지수의 크기를 임의로 변경하여 해석함으로써 접촉법칙이 충격거동해석의 결과에 미치는 영향을 살펴보았다. 최종적으로 선형화된 접촉법칙을 적용하여도 충격거동해석을 정확히 수행할 수 있음을 보였다. 이 개념을 응용하면 충격문제해석을 위한 부가적인 프로그램 개발 없이 범용 유한요소해석 프로그램으로도 복합적층판의 저속충격거동을 해석할 수 있음을 보였다.

• 한국소음진동공학회논문집
• /
• 제14권5호
• /
• pp.394-401
• /
• 2004

This paper presents a study on the analysis of impact responses taking into account sensor dynamics. The contact force between impacting bodies is modelled by using Hertz force-displacement law and linear damping function. Since the real impact force and acceleration at the contact surface of two colliding bodies are measured indirectly by the sensors, the measured outputs can be a little different from the real impact responses. Therefore, in this study, the importance of consideration of sensor dynamics in the impact problems of two colliding bodies is emphasized. In order to verify the appropriateness of the proposed contact force model, the drop type impact test using two kinds of sensors is carried out. Through the numerical analysis and experiment, the effect of sensor dynamics and characteristics on the contact force model is investigated.

• 한국소음진동공학회:학술대회논문집
• /
• 한국소음진동공학회 2002년도 추계학술대회논문집
• /
• pp.731-736
• /
• 2002

Impact is the most common type of dynamic loading conditions that give rise to impulsive forces and affects the vibrational characteristics of mechanical systems . Since the real impact force and acceleration at the contact surface are measured indirectly through the sensors, the measured outputs can be a little different from the real impact responses. In this study, the contact force model based on the Hertz law is proposed in order to predict the impact force correctly. To investigate the influence of the position of the sensor attached to the impacting bodies, the two kinds of sensors were used. Finally, the contact force model obtained by drop test was applied to predict the impact force between the moving part and the stopper in magnetic contactor.

• 한국소음진동공학회:학술대회논문집
• /
• 한국소음진동공학회 2002년도 추계학술대회논문초록집
• /
• pp.373.1-373
• /
• 2002

Impact is the most common type of dynamic loading conditions that give rise to impulsive forces and affects the vibrational characteristics of mechanical systems. Since the impact force and response are measured indirectly through the sensors, it is difficult to predict the impact force and acceleration. In this study, contact force model based on the Hertz law is proposed in order to predict the impact force correctly. (omitted)

• Steel and Composite Structures
• /
• 제49권3호
• /
• pp.281-291
• /
• 2023

Due to the fact that the nonlinear low-velocity impact response of graphene platelets reinforced metal foams (GPLRMF) doubly curved shells have not been investigated in the existing works, this paper aims to solve this issue. Using Reddy's high-order shear deformation theory (HSDT), the nonlinear governing equations of GPLRMF doubly curved shells are obtained by Euler-Lagrange method, discretized by Galerkin principle, and solved by the fourth-order Runge-Kutta method to obtain the impact force and central deflection. The nonlinear Hertz contact law is applied to determine the contact force. Finally, the impacts of graphene platelets (GPLs) distribution pattern, porosity distribution form, porosity coefficient, damping coefficient, impact parameters (radius and initial velocity), GPLs weight fraction, pre-stressing force and different shell types on the low-velocity impact curves are analyzed. It can be found that, among the four shell structures, the impact resistance of spherical shell is the best, while that of cylindrical shell is the worst.

• 한국소음진동공학회:학술대회논문집
• /
• 한국소음진동공학회 1997년도 춘계학술대회논문집; 경주코오롱호텔; 22-23 May 1997
• /
• pp.42-48
• /
• 1997

The dynamic response of symmetric cross-ply and angle-ply composite laminated plates under impact loads is investigated using a higher order shear deformation theory. A modified Hertz law is used to predict the impact loads and a four node finite element is used to model the plate. By using a higher order shear deformation theory, the out-of-plane shear stresses, which can be a crucial factor in the failure of composite plates, are determined with significant accuracy. The results compared with previous investigations showed good agreement. The effect of ply sequence and ply angle on the contact force is also studied.