• Title/Summary/Keyword: Function of moment of inertia

Search Result 28, Processing Time 0.028 seconds

Updating of Finite Element Models Including Damping (감쇠를 포함한 유한요소모형의 개선)

  • Park, O-Cheol;Lee, Gun-Myung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2007.11a
    • /
    • pp.708-713
    • /
    • 2007
  • Finite element model updating has been performed using an optimization technique in the paper. The objective function consists of natural frequencies, modal assurance criterion values, and bandwidths of modes, which are obtained from finite element analysis and experiment. Young's modulus and damping coefficient of the material are selected as design variables whose values are modified to make the objective function as small as possible. To consider the loading effect of an accelerometer, its mass and moment of inertia are added to design variables. This model updating method has been applied to a cantilever beam, and experimental data are measured by modal test.

  • PDF

Comparison of Newton's and Euler's Algorithm in a Compound Pendulum (복합진자 모형의 뉴튼.오일러 알고리즘 비교)

  • Hah, Chong-Ku
    • Korean Journal of Applied Biomechanics
    • /
    • v.16 no.3
    • /
    • pp.1-7
    • /
    • 2006
  • The Primary type of swinging motion in human movement is that which is characteristic of a pendulum. The two types of pendulums are identified as simple and compound. A simple pendulum consist of a small body suspended by a relatively long cord. Its total mass is contained within the bob. The cord is not considered to have mass. A compound pendulum, on the other hand, is any pendulum such as the human body swinging by hands from a horizontal bar. Therefore a compound pendulum depicts important motions that are harmonic, periodic, and oscillatory. In this paper one discusses and compares two algorithms of Newton's method(F = m a) and Euler's method (M = $I{\times}{\alpha}$) in compound pendulum. Through exercise model such as human body with weight(m = 50 kg), body length(L = 1.5m), and center of gravity ($L_c$ = 0.4119L) from proximal end swinging by hands from a horizontal bar, one finds kinematic variables(angle displacement / velocity / acceleration), and simulates kinematic variables by changing body lengths and body mass. BSP by Clauser et al.(1969) & Chandler et al.(1975) is used to find moment of inertia of the compound pendulum. The radius of gyration about center of gravity (CoG) is $k_c\;=\;K_c{\times}L$ (단, k= radius of gyration, K= radius of gyration /segment length), and then moment of inertia about center of gravity(CoG) becomes $I_c\;=\;m\;k_c^2$. Finally, moment of inertia about Z-axis by parallel theorem becomes $I_o\;=\;I_c\;+\;m\;k^2$. The two-order ordinary differential equations of models are solved by ND function of numeric analysis method in Mathematica5.1. The results are as follows; First, The complexity of Newton's method is much more complex than that of Euler's method Second, one could be find kinematic variables according to changing body lengths(L = 1.3 / 1.7 m) and periods are increased by body length increment(L = 1.3 / 1.5 / 1.7 m). Third, one could be find that periods are not changing by means of changing mass(m = 50 / 55 / 60 kg). Conclusively, one is intended to meditate the possibility of applying a compound pendulum to sports(balling, golf, gymnastics and so on) necessary swinging motions. Further improvements to the study could be to apply Euler's method to real motions and one would be able to develop the simulator.

Transverse Vibration of ATM Crown belt (ATM용 크라운벨트의 횡진동 해석)

  • Son, Young-Boo;Choi, Yeon-Sun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2007.11a
    • /
    • pp.1212-1217
    • /
    • 2007
  • ATM(automated teller machine) is a machine which can deposit and withdraw money directly. For effective transfer of bills in the machine, crown belts are used. In this paper, the transverse vibration of crown belt is investigated. The equation of motion of the belt is derived using Lagrange's equation. Galerkin's method is applied to convert the partial differential equation to the ordinary differential equations. Experimental investigations are performed on the belt system with the variation of pulley type, eccentricity, and tension. The results of numerical analysis show in good agreement with the experimental results.

  • PDF

Parameter Sensitivity Analysis of Autonomous Robot Vehicle for Trajectory Error and Friction Force (자율 주행 반송차의 궤적 오차와 마찰력에 대한 매개 변수의 민감도 해석)

  • 김동규;박기환;김수현;곽윤근
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.4 no.2
    • /
    • pp.115-126
    • /
    • 1996
  • In order to obtain the principal design data for developing the Autonomous Robot Vehicle(ARV), Sensitivity analysis on the trajectory error and friction force with respect to the dynamic parameters is performed. In the straight motion, the trajectory error has been proved to be much affected by the mass variance of the ARV while the lateral friction force is much affected by the location of the mass center. In the curved motion, the effect of mass and moment of inertia is considered importantly. In addition, the lateral offset gives more effect than the geometric dimension of the ARV on the trajectory errors and friction force.

  • PDF

Neural Identifier of a Two Joint Robot Manipulator (신경회로망을 이용한 2축 매니퓰레이터 동정화)

  • 이민호;이수영;박철훈
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.21 no.1
    • /
    • pp.291-299
    • /
    • 1996
  • A new identification method using a higher order multilayer neural network is proposed for identifying a complex dynamic system such as a robotic manipulator. The input torque data for learning of the neural identifier are generated for producing effective output trajectories by a minimization process of a specific performance index function which indicates the difference between the reference points and the present joint positions and their velocities of the robotic manipulator. Computer simulation results show that the proposed identification method is very effective for identifying the systems with complex dynamics and large moment of inertia.

  • PDF

The study on characteristics of viscosity friction coefficient for a motor (전동기 점성마찰계수 특성에 관한 연구)

  • Byun, Yeun-Sub;Mok, Jei-Kyun;Kim, Young-Chol
    • Proceedings of the KIEE Conference
    • /
    • 2007.07a
    • /
    • pp.1082-1083
    • /
    • 2007
  • Electric motors are widely used from precision industry to home appliance. For the precision control of the motors, if it is possible, we need the information of the correct motor parameters. In the motor torque equation, the motor inertia moment and the viscosity friction coefficient are regarded as constant. However the viscosity friction coefficient is not constant in the real system. In this paper, we show that the viscosity friction coefficient has the nonlinear property through the real test and we present the nonlinear function for the viscosity friction coefficient.

  • PDF

Optimal Location Issue on both Supporting Bearing and Unbalance Mass of the Balance Shaft Module in a Inline 4-Cylinder Engine (직렬 4기통 엔진용 밸런스 샤프트 모듈의 불평형 질량 및 베어링 위치 선정)

  • Lee, Dong-Won;Kim, Chan-Jung;Bae, Chul-Yong;Lee, Bong-Hyun
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.18 no.4
    • /
    • pp.1-7
    • /
    • 2010
  • Large quantity of bending deformation as well as irregular rotating torque fluctuation are the main struggles of the balance shaft module during a high speed rotation. Since two issues are much sensitive to the location of both supporting bearing and unbalance mass at a balance shaft, it is recommended to construct a design strategy on balance shaft at the early stage so as to save developing time and effort before approaches to the detailed design process. In this paper, an optimal design formulation is proposed to minimize the elastic strain energy due to bending as well as the kinematic energy of polar moment of inertia in rotation. Case studies of optimal design are conducted for different mass ratio as well as linear combination of objective function and its consequence reveals that global optimum of balance shaft model is existed over possible design conditions. Simulation shows that best locations of both supporting bearing and unbalance are globally 20% and 80%, respectively, over total length of a balance shaft.

A Study on the Effective Free Surface of Fluid Cargo (유동화물의 유효자유표면에 관한 연구)

  • Hur, I.;Wang, J.S.
    • Journal of the Korean Institute of Navigation
    • /
    • v.11 no.2
    • /
    • pp.73-88
    • /
    • 1987
  • It is well known that the height of tank metacenter above the centroid of fluid in a tank is given by i/v where I is the inertia moment of free surface and v is the fluid volume. It is supposed in this formula that the inclination of ship is small and that the free surface of fluid do not touch the top and the bottom of tank. It the inclination of ship is large, the height of tank metacenter may be possibly greater than that given by i/v. The height of tank metacenter is smaller than i/v when the free surface of fluid touch the top or the bottom of tank. The reasonable method to calculate the height of tank metacenter is presented in this paper and prepared in FORTRAN program by FUNCTION EFFRES. The approximate formula was also developed and given by $g_m=(1+\frac{2}{1}tan^2\theta)[1-EXP\{-12(\frac{\alpha(1-\alpha)k}{tan\theta})^{1.25}\}]\frac{i}{v}$ where $g_m$ is the distance from the centroid of fluid to the tank metacenter, $\theta$ is inclined angle of ship, $\alpha$ is the ratio of filled volume to tank capacity and k is the ratio of the depth to the width of tank. The values calculated by the approximate formula given in this paper were compared with the exact values from the computer program and proved out to be sufficiently precise for practical use.

  • PDF

Optimum design of laterally-supported castellated beams using CBO algorithm

  • Kaveh, A.;Shokohi, F.
    • Steel and Composite Structures
    • /
    • v.18 no.2
    • /
    • pp.305-324
    • /
    • 2015
  • In this study, two common types of laterally supported castellated beams are considered as design problems: beams with hexagonal openings and beams with circular openings. The main goal of manufacturing these beams is to increase the moment of inertia and section modulus, which results in greater strength and rigidity. These types of open-web beams have found widespread use, primarily in buildings, because of great savings in materials and construction costs. Hence, the minimum cost is taken as the design objective function and the Colliding Bodies Optimization (CBO) method is utilized for obtaining the solution of the design problem. The design methods used in this study are consistent with BS5950 Part 1 and Part 3, and Euro Code 3. A number of design examples are considered to optimize by CBO algorithm. Comparison of the optimal solution of the CBO algorithm with those of the Enhanced Charged System Search (ECSS) method demonstrate the capability of CBO in solving the present type of design problem. It is also observed that optimization results obtained by the CBO algorithm for three design examples have less cost in comparison to the results of the ECSS algorithm. From the results obtained in this paper, it can be concluded that the use of beam with hexagonal opening requires smaller amount of steel material and it is superior to the cellular beam from the cost point of view.

2-dimensional Hydrodynamic Forces of Heaving, Swaying and Rolling Cylinders on a Free Surface of a Water of Finite Depth

  • Rhee, K.P.
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.14 no.3
    • /
    • pp.13-22
    • /
    • 1977
  • The hydrodynamic forces acting on a forced oscillating 2-dimensional cylinder on a free surface of a fluid of a finite depth are calculated by distributing singularities on the immersed body surface. And the Haskind-Newman relation in a fluid of a finite depth is derived. The wave exciting force of the cylinder to an oscillation is also calculated by using the above relation. The method is applied to a circular cylinder swaying in a water of finite depth, and then, to a rectangular cylinder heaving, swaying, and rolling. The results of above cases give a good agreement with those by earlier investigators such as Bai, Keil, and Yeung. Also, this method is applied to a Lewis form cylinder with a half beam-to-draft ratio of 1.0 and a sectional area coefficient of 0.941, and to a bulbous section cylinder which is hard to represent by a mapping function. The results reveal that the hydrodynamic forces in heave increase as the depth of a water decrease, but in sway or roll, the tendency of the hydrodynamic forces is difficult to say in a few words. The exciting force to heave for a bulbous section cylinder becomes zero at two frequencies. The added mass moment of inertia for roll is seemed to mainly depend on the sectional shape than the water depth.

  • PDF