• Title/Summary/Keyword: mechanical non-linearity

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The inelastic buckling of varying thickness circular cylinders under external hydrostatic pressure

  • Ross, C.T.F.;Gill-Carson, A.;Little, A.P.F.
    • Structural Engineering and Mechanics
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    • v.9 no.1
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    • pp.51-68
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    • 2000
  • The paper presents theoretical and experimental investigations on three varying thickness circular cylinders, which were tested to destruction under external hydrostatic pressure. The five buckling theories that were presented were based on inelastic shell instability. Three of these inelastic buckling theories adopted the finite element method and the other two theories were based on a modified version of the much simpler von Mises theory. Comparison between experiment and theory showed that one of the inelastic buckling theories that was based on the von Mises buckling pressure gave very good results while the two finite element solutions, obtained by dividing the theoretical elastic instability pressures by experimentally determined plastic knockdown factors gave poor results. The third finite element solution which was based on material and geometrical non-linearity gave excellent results. Electrical resistance strain gauges were used to monitor the collapse mechanisms and these revealed that collapse occurred in the regions of the highest values of hoop stress, where considerable deformation took place.

Computation of Water and Air Flow with Submerged Hydrofoil by Interface Capturing Method

  • Kwag, Seung-Hyun
    • Journal of Mechanical Science and Technology
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    • v.14 no.7
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    • pp.789-795
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    • 2000
  • Free-surface flows with an arbitrary deformation, induced by a submerged hydrofoil, are simulated numerically, considering two-fluid flows of both water and air. The computation is performed by a finite volume method using unstructured meshes and an interface capturing scheme to determine the shape of the free surface. The method uses control volumes with an arbitrary number of faces and allows cell wise local mesh refinement. The integration in space is of second order, based on midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation in time through three time levels. The linear equations are solved by conjugate gradient type solvers, and the non-linearity of equations is accounted for through Picard iterations. The solution method is of pressure-correction type and solves sequentially the linearized momentum equations, the continuity equation, the conservation equation of one species, and the equations for two turbulence quantities. Finally, a comparison is quantitatively made at the same speed between the computation and experiment in which the grid sensitivity is numerically checked.

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Self-Compensation of PZT Errors in White Light Scanning Interferometry

  • Kang, Min-Gu;Lee, Sang-Yoon;Kim, Seong-Woo
    • Journal of the Optical Society of Korea
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    • v.3 no.2
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    • pp.35-40
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    • 1999
  • One of main error sources in white light scanning interferometry is the inaccuracy of scanning mechanisms in that PZT(piezoelectric transducer) micro-actuators are preferably used. We propose a new calibration method that is capable of identifying actual scanning errors directly by analyzing the spectral distribution of sampled interferograms. This calibration provides an effective means of self-compensation for the non-linearity errors caused by PZT hysteresis, enhancing the measurement uncertainty to a level of 5 nanometers over an entire measuring range of 100 ${\mu}{\textrm}{m}$.

Application of Learning Control for U-type Tuned Liquid Damper System (U자형 TLD시스템에 대한 학습제어 적용)

  • Ga, Chun-Sik;Ryu, Yeong-Soon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.11
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    • pp.1656-1663
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    • 2004
  • As the structures become larger, higher and more complicated, the demand for safety level has increased. In recent years, TLD(Tuned Liquid Damper) proved to be a successful control tool for reducing structural vibrations. For this reason, the influence of some key parameters of the U-type TLD on the dynamic response is studied. And simple and effectively developed learning control logic is used to control vibration of U type Tuned Liquid Damper system. The purpose of this paper is design optimal control system to deal with unknown errors from non linearity and variation that cost modeling difficulty in complex structure and is followed with the desired behavior. Finally this hybrid control method applied to U type Tuned Liquid Damper structure gives the benefit from better performance of precision and stability of the structure by reducing vibration effect. This research leads to safety design in various structure to robust unspecified foreign disturbances such as windy-load and earthquake.

CMOS ROIC for MEMS Acceleration Sensor (MEMS 가속도센서를 위한 CMOS Readout 회로)

  • Yoon, Eun-Jung;Park, Jong-Tae;Yu, Chong-Gun
    • Journal of IKEEE
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    • v.18 no.1
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    • pp.119-127
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    • 2014
  • This paper presents a CMOS readout circuit for MEMS(Micro Electro Mechanical System) acceleration sensors. It consists of a MEMS accelerometer, a capacitance to voltage converter(CVC) and a second-order switched-capacitor ${\Sigma}{\Delta}$ modulator. Correlated-double-sampling(CDS) and chopper-stabilization(CHS) techniques are used in the CVC and ${\Sigma}{\Delta}$ modulator to reduce the low-frequency noise and DC offset. The sensitivity of the designed CVC is 150mV/g and its non-linearity is 0.15%. The duty cycle of the designed ${\Sigma}{\Delta}$ modulator output increases about 10% when the input voltage amplitude increases by 100mV, and the modulator's non-linearity is 0.45%. The total sensitivity is 150mV/g and the power consumption is 5.6mW. The proposed circuit is designed in a 0.35um CMOS process with a supply voltage of 3.3V and a operating frequency of 2MHz. The size of the designed chip including PADs is $0.96mm{\times}0.85mm$.

Precision in situ Measurement using Non-Contacting Capacitive Sensor with 4-Electrodes (비접촉식 4-전극형 전기용량 센서를 이용한 in situ 정밀측정)

  • Kim, Jae-Yeol;Lee, Lae-Duck;Park, Ki-Hyung;Ma, Sang-Dong;Yang, Dong-Jo
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.3
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    • pp.33-38
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    • 2002
  • To establish the national standard of capacitance, four main electrodes of the cross capacitor which were evaluated to linearity and roundness less the $\pm 1 \mu m$ respectively have to be adjusted symmetrically in an inner cylinder. Four LM shafts with diameter of 5 mm were installed between main electrodes of the cross capacitor, and the electrodes were adjusted, as the first step, by means of the measured capacitance. In the second step, the symmetrical adjustment up to $\pm 1.2\mu m$ was performed by using a ball sensor, ball-type movable sensor, non-contacting capacitive sensor and upper guard sensor which were developed in this project.

Large amplitude free vibrations of FGM shallow curved tubes in thermal environment

  • Babaei, Hadi;Kiani, Yaser;Eslami, M. Reza
    • Smart Structures and Systems
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    • v.25 no.6
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    • pp.693-705
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    • 2020
  • In the current investigation, large amplitude free vibration behavior of shallow curved pipes (tubes) made of functionally graded materials is investigated. Properties of the tube are distributed across the radius of the tube and are obtained by means of a power law function. It is also assumed that all thermo-mechanical properties are temperature dependent. The governing equations of the tube are obtained using a higher order shear deformation tube theory, where the traction free boundary conditions are satisfied on the top and bottom surfaces of the tube. The von Kármán type of geometrical non-linearity is included into the formulation to consider the large displacements and small strains. Uniform temperature elevation of the tube is also included into the formulation. For the case of tubes which are simply supported in flexure and axially immovable, the governing equations are solved using the two-step perturbation technique. Closed form expressions are provided to obtain the small and large amplitude fundamental natural frequencies of the FGM shallow curved tubes in thermal environment. Numerical results are given to explore the effects of thermal environment, radius ratio, and length to thickness ratio of the tube on the fundamental linear and non-linear frequencies.

New Non-linear Modelling for Vibration Analysis of Straight Pipe Conveying Fluid (유체 유동을 갖는 직선관의 진동 해석을 위해 새로운 비선형 모델링)

  • Lee, Soo-Il;Chung, Jin-Tai;Im, Hyung-Bin
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.372-377
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    • 2001
  • A new non-linear of a straight pipe conveying fluid is presented for vibration analysis when the pipe is fixed at both ends. Using the Euler-Bernoulli beam theory and the non-linear Lagrange strain theory, from the extended Hamilton's principle are derived the coupled non-linear equations of motion for the longitudinal and transverse displacements. These equations of motion for are discretized by using the Galerkin method. After the discretized equations are linearized in the neighbourhood of the equilibrium position, the natural frequencies are computed from the linearized equations. On the other hand, the time histories for the displacements are also obtained by applying the $generalized-{\alpha}$ time integration method to the non-linear discretized equations. The validity of the new modeling is provided by comparing results from the proposed non-linear equations with those from the equations proposed by $Pa{\ddot{i}}dousis$.

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Investigation of two parallel lengthwise cracks in an inhomogeneous beam of varying thickness

  • Rizov, Victor I.
    • Coupled systems mechanics
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    • v.9 no.4
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    • pp.381-396
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    • 2020
  • Analytical investigation of the fracture of inhomogeneous beam with two parallel lengthwise cracks is performed. The thickness of the beam varies continuously along the beam length. The beam is loaded in three-point bending. Two beam configurations with different lengths of the cracks are analyzed. The two cracks are located arbitrary along the thickness of the beam. Solutions to the strain energy release rate are derived assuming that the material has non-linear elastic mechanical behavior. Besides, the beam exhibits continuous material inhomogeneity along its thickness. The balance of the energy is analyzed in order to derive the strain energy release rate. Verifications of the solutions are carried-out by considering the complementary strain energy stored in the beam configurations. The influence of the continuous variation of the thickness along the beam length on the lengthwise fracture behavior is investigated. The dependence of the lengthwise fracture on the lengths of the two parallel cracks is also studied.

Development of Non-contact Torque Sensor (비접촉 토오크센서의 개발(I))

  • Son, Dae-Rak;Im, Sun-Jae;Kim, Chang-Seok;Nam, Gung-Seok
    • Journal of the Korean Society for Precision Engineering
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    • v.9 no.1
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    • pp.29-33
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    • 1992
  • A non-contact torque sensor was developed using amorphous alloy. The change of maixmum magnetic induction of C0-based amorphous alloy under the tensile and compressive stress was proportional to applied torque. For the construction of the torque sensor, a glass fiber reinforced-epoxy rod was used as shaft. The amorphous strips were attached on the epoxy shaft in the direction of $+45^{\circ}$and $-45^{\circ}$. The magnetizing coil and 2 sensing coil was installed. The static and dynamic test was carried out. The linearity and sensor hysteresis of the torque sensor was less than 1%.

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