• Title/Summary/Keyword: KINEMATIC VARIABLES

Search Result 332, Processing Time 0.028 seconds

Probabilistic analysis for face stability of tunnels in Hoek-Brown media

  • Li, T.Z.;Yang, X.L.
    • Geomechanics and Engineering
    • /
    • v.18 no.6
    • /
    • pp.595-603
    • /
    • 2019
  • A modified model combining Kriging and Monte Carlo method (MC) is proposed for probabilistic estimation of tunnel face stability in this paper. In the model, a novel uniform design is adopted to train the Kriging, instead of the existing active learning function. It has advantage of avoiding addition of new training points iteratively, and greatly saves the computational time in model training. The kinematic approach of limit analysis is employed to define the deterministic computational model of face failure, in which the Hoek-Brown failure criterion is introduced to account for the nonlinear behaviors of rock mass. The trained Kriging is used as a surrogate model to perform MC with dramatic reduction of calls to actual limit state function. The parameters in Hoek-Brown failure criterion are considered as random variables in the analysis. The failure probability is estimated by direct MC to test the accuracy and efficiency of the proposed probabilistic model. The influences of uncertainty level, correlation relationship and distribution type of random variables are further discussed using the proposed approach. In summary, the probabilistic model is an accurate and economical alternative to perform probabilistic stability analysis of tunnel face excavated in spatially random Hoek- Brown media.

Thermomechanical bending study for functionally graded sandwich plates using a simple quasi-3D shear deformation theory

  • Zarga, Djaloul;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Mahmoud, S.R.
    • Steel and Composite Structures
    • /
    • v.32 no.3
    • /
    • pp.389-410
    • /
    • 2019
  • In this article, a simple quasi-3D shear deformation theory is employed for thermo-mechanical bending analysis of functionally graded material (FGM) sandwich plates. The displacement field is defined using only 5 variables as the first order shear deformation theory (FSDT). Unlike the other high order shear deformation theories (HSDTs), the present formulation considers a new kinematic which includes undetermined integral variables. The governing equations are determined based on the principle of virtual work and then they are solved via Navier method. Analytical solutions are proposed to provide the deflections and stresses of simply supported FGM sandwich structures. Comparative examples are presented to demonstrate the accuracy of the present theory. The effects of gradient index, geometrical parameters and thermal load on thermo-mechanical bending response of the FG sandwich plates are examined.

The Effects of Gaze Direction on the Stability and Coordination of the Lower Limb Joint during Drop-Landing (드롭랜딩 시 시선 방향의 차이가 하지관절의 안정성과 협응에 미치는 영향)

  • Kim, Kewwan;Ahn, Seji
    • Korean Journal of Applied Biomechanics
    • /
    • v.31 no.2
    • /
    • pp.126-132
    • /
    • 2021
  • Objective: The purpose of this study was to investigate how three gaze directions (bottom, normal, up) affects the coordination and stability of the lower limb during drop landing. Method: 20 female adults (age: 21.1±1.1 yrs, height: 165.7±6.2 cm, weight: 59.4±5.9 kg) participated in this study. Participants performed single-leg drop landing task on a 30 cm height and 20 cm horizontal distance away from the force plate. Kinetic and kinematic data were obtained using 8 motion capture cameras and 1 force plates and leg stiffness, loading rate, DPSI were calculated. All statistical analyses were computed by using SPSS 25.0 program. One-way repeated ANOVA was used to compared the differences between the variables in the direction of gaze. To locate the differences, Bonferroni post hoc was applied if significance was observed. Results: The hip flexion angle and ankle plantar flexion angle were significantly smaller when the gaze direction was up. In the kinetic variables, when the gaze direction was up, the loading rate and DPSI were significantly higher than those of other gaze directions. Conclusion: Our results indicated that decreased hip and ankle flexion angles, increased loading rate and DPSI when the gaze direction was up. This suggests that the difference in visual information can increase the risk of injury to the lower limb during landing.

A constant tendon moment arms finger model in the sagittal plane

  • Lee, K.H.
    • Proceedings of the ESK Conference
    • /
    • 1992.10a
    • /
    • pp.46-53
    • /
    • 1992
  • Finger movements in the sagittal plane mainly consist of flexion and extension about the metacarpophalangeal(MCP) and proximal interphalangeal(PIP) joints. A kinematic finger model was developed with the assumption of constant tendon moment arms. Equations of static equilibrium were derived for the finger model using the principle of virtual work. Equations of static equilibrium for the finger model were indeterminate since only three equations were available for five unknown variables(forces). The number of variables was reduced based on information on muscular activities in finger movements. Then the amounts of forces which muscles exerted to maintain static equilibrium against external loads were computed from the equilibrium equations. The muscular forces were expressed mathematically as functions of finger positions, tendon moment arms, lengths of phalanges, and the magnitude and direction of external load. The external finger strength were computed using the equations of muscular forces and anatomical data. Experiments were performed to measure finger strengths. Measurements were taken in combinations of four finger positions and four directions of force exertions. Validation of the finger models and of procedure to estimate finger strengths was done by comparing the results of computations and experiments. Significang differences were found between the predicted and measured finger strengths. However, the trends of finger strengths with respect to finger positions were similar inboth the predicted and measured. These findings indicate that the finger model and the procedure to predict finger strengths were correctly developed.

  • PDF

New Formulation Method for Reducing the Direct Kinematic Complexity of the 3-6 Stewart-Gough Platform

  • Song, Se-Kyong;Kwon, Dong-Soo
    • Transactions on Control, Automation and Systems Engineering
    • /
    • v.4 no.2
    • /
    • pp.156-163
    • /
    • 2002
  • This paper presents a new formulation to simplify the three resulting constraint equations of the direct kinematics of the 3-6 (Stewart-Gough) Platform. The conventional direct kinematics of the 3-6 Platform has been formulated through complicated steps with trigonometric functions in three angle variables and thus results in the computational burden. In order to reduce the formulation complexity, we replace an angle variable into a length one and express three connecting joints on the moving platform in the same frame. The proposed formulation yields considerable abbreviation of the number of the calculation terms involved in the direct kinematics. It is verified through a series of simulation results.

Kinematics Gait analysis according to Treadmill belt speed (트리드밀 속도에 따른 보행 분석)

  • Kwon, Mi-Ji;Kim, Soo-Min
    • Journal of Korean Physical Therapy Science
    • /
    • v.6 no.3
    • /
    • pp.107-116
    • /
    • 1999
  • The purpose of this study was to describe and compare kinematic gait variables during 3 different(0.5, 1, 2m/s) treadmill belt speed. Twenty health subjects participated. The results were following. 1. There are no significant difficult in step phase according to treadmill belt speed. 2. There are significant difficult in stride length, cadence and foot rotation according to treadmill belt speed. 3. There are significant difficult in hip flex/ext, knee flexion and ankle dorsiflexion according to treadmill belt speed.

  • PDF

An analytical expression for a dynamic optimal design of the stewart platform (스튜어트 플랫폼의 동역학적 최적설계를 위한 해석적인 표현)

  • Kwon, Byung-Hee;Son, Kwon
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1997.10a
    • /
    • pp.175-178
    • /
    • 1997
  • This study was carried out to obtain an analytical expression for the specifications of the Stewart Platform that minimize the maximum force acting on the hydraulic cylinder. The position and orientation of the platform were calculated by means of the inverse kinematic analysis. The maximum force to be exerted on a cylinder was calculated using the Newton's second law for the case when the platform is moved along a horizontal axis with 0.6 g, the maximum translational acceleration possible. This paper suggests a mathematical model to minimize the maximum actuating force using radius and angle ratios as design variables. Finally, a fuzzy set for the minimum actuating force is proposed for this dynamic optimal design problem.

  • PDF

An Overstress Model for Non-proportional Loading of Nylon 66 (Nylon 66의 무비례 하중에 대한 과응력 모델)

  • Ho, Gwang-Su
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.25 no.12
    • /
    • pp.2056-2061
    • /
    • 2001
  • Non-proportional loading tests of Nylon 66 at room temperature exhibit path dependent behavior and plasticity-relaxation interactions. The uniaxial formulation of the viscoplasticity theory based on overstress (VBO), which has been used to reproduce the nonlinear strain rate sensitivity, relaxation, significant recovery and cyclic softening behaviors of Nylon 66, is extended to three-dimensions to predict the response in strain-controlled, comer-path tests. VBO consists of a flow law that is easily written for either the stress or the strain as the independent variable. The flow law depends on the overstress, the difference between the stress and the equilibrium stress that is a state variable in VBO. The evolution law of the equilibrium stress in turn contains two additional state variables, the kinematic stress and the isotropic stress. The simulations show that the constitutive model is competent at modeling the deformation behavior of Nylon 66 and other solid polymers.

Optimum Design for Reducing Steering Error of Rack-and-Pinion Steering Linkage (랙-피니언 조향기구의 조향오차 최적설계)

  • 홍경진;최동훈
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.6 no.2
    • /
    • pp.43-53
    • /
    • 1998
  • This paper addresses an optimization for reducing a steering error of a rack-and-pinion steering linkage with a MacPherson strut independent front suspension system. The length, orientations and inner joint positions of a tie-rod are selected as design variables and Ackerman geonetry, understeer effect, minimum turn radius, wheel alignment and packaging are considered as design constraints. Nonlinear kinematic analysis of the steering system is performed for calculating the values of cost and constraints, and Augmented Lagrange Multiplier(ALM) method is used for solving the constrained optinization problem. The optimization results show that the steering error are considerably reduced while satisfying all the constraints.

  • PDF

Dynamically-Correct Automatic Transmission Modeling (동적 특성을 고려한 자동변속기의 모델링)

  • 김정호;조동일
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.5 no.5
    • /
    • pp.73-85
    • /
    • 1997
  • An automatic transmission is an important element of automotive power systems that allows a driving convenience. Compared to a manual transmission, however, it has a few problems in efficiency, shift feel, and maintenance. To improve these, it is imperative to understand the dynamics of automatic transmissions. This paper develops a dynamically-correct model of an automatic transmission, using the bond graph method. The bond graph method is ideally suited for modeling power systems, because the method is based on generalized power variables. The bond graph method is capable of providing correct dynamic constraints and kinematic constraints, as well as the governing differential equations of motion. The bond graph method is applied to 1-4 in-gear ranges, as well as various upshifts and downshifts of an automatic transmission, which allows an accurate simulation of an automatic transmission. Conventional automatic transmission models have no dynamic constraint, which do not allow correct simulation studies.

  • PDF