• Title/Summary/Keyword: viscoelastic model parameters

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Biomechanical Analysis of Human Balance Control

  • Shin, Youngkyun;Park, Gu-Bum
    • 조명전기설비학회논문지
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    • 제28권3호
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    • pp.63-71
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    • 2014
  • A single-inverted-pendulum model is presented to simulate and predict the passive response of human balance control. This simplified biomechanical model was comprised of a torsional spring and damper, and a lump mass. An estimation of frequency response function was conducted to parameterize the complexity. The frequency domain identification method is used to identify the parameters of the model. The equivalent viscoelastic parameters of standing body were obtained and there was good conformity between the simulation and experimental result.

Wave propagation analysis of the ball in the handball's game

  • Yongyong Wang;Qixia Jia;Tingting Deng;Mostafa Habibi;Sanaa Al-Kikani;H. Elhosiny Ali
    • Structural Engineering and Mechanics
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    • 제85권6호
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    • pp.729-742
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    • 2023
  • It is a recent attraction to the mechanical scientists to investigate state of wave propagation, buckling and vibration in the sport balls to observe the importance of different parameters on the performance of the players and the quality of game. Therefore, in the present study, we aim to investigate the wave propagation in handball game ball in term of mass of the ball and geometrical parameters wit incorporation of the viscoelastic effects of the ball material into account. In this regard, the ball is modeled using thick shell structure and classical elasticity models is utilized to obtain the equation of motion via Hamilton's principle. The displacement field of the ball model is obtained using first order shear deformation theory. The resultant equations are solved with the aid of generalized differential quadrature method. The results show that mass of the ball and viscoelastic coefficient have considerable influence on the state of wave propagation in the ball shell structure.

용융 폴리우레탄의 완화 스펙트럼에 의한 자체확산분포 결정 (Determination of Self Diffusion Distributions of Molten Polyurethanes by Relaxation Spectra)

  • 김남정
    • 대한화학회지
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    • 제50권3호
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    • pp.196-202
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    • 2006
  • 점탄성 용융 폴리우레탄의 자체확산분포가 완화스펙트럼과 자체확산분포 관계식으로부터 얻어졌다. ester, PCL PCL dyed 형의 용융 폴리우레탄의 완화스펙트럼은 실험적인 응력완화 곡선을 Ree-Eyring and Maxwell non-Newtonian model(REM 모델)이론식에 적용시켜서 얻는다. 용융폴리우레탄의 응력완화 실험은 온도조절 장치가 있는 physica 레오메타를 이용하여 여러 온도에서 수행되었다. 이론적인 완화스펙트럼은 REM model로부터 유도한 이론적인 완화스펙트럼식을 프로그램화한 컴퓨터 계산에서 구하였다. 폴리우레탄 시료의 자체확산과 비결정 영역의 홀거리가 응력완화 실험에 의해서 연구 조사되었다. 비결정 영역에서의 유동단위의 확산을 연구하기 위해서 확산계수와 홀부피가 유변학적인 파라메타와 결정크기로부터 계산되었다. 폴리우레탄 시료의 완화스펙트럼과 자체확산은 유동 단위의 분자량분포, 점도, 홀부피, 활성화에너지와 밀접한 관계가 있는 것을 알 수 있다.

Multiple Pounding Tuned Mass Damper (MPTMD) control on benchmark tower subjected to earthquake excitations

  • Lin, Wei;Lin, Yinglu;Song, Gangbing;Li, Jun
    • Earthquakes and Structures
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    • 제11권6호
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    • pp.1123-1141
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    • 2016
  • To explore the application of traditional tuned mass dampers (TMDs) to the earthquake induced vibration control problem, a pounding tuned mass damper (PTMD) is proposed by adding a viscoelastic limitation to the traditional TMD. In the proposed PTMD, the vibration energy can be further dissipated through the impact between the attached mass and the viscoelastic layer. More energy dissipation modes can guarantee better control effectiveness under a suite of excitations. To further reduce mass ratio and enhance the implementation of the PTMD control, multiple PTMDs (MPTMD) control is then presented. After the experimental validation of the proposed improved Hertz based pounding model, the basic equations of the MPTMD controlled system are obtained. Numerical simulation is conducted on the benchmark model of the Canton Tower. The control effectiveness of the PTMD and the MPTMD is analyzed and compared under different earthquake inputs. The sensitivity and the optimization of the design parameters are also investigated. It is demonstrated that PTMDs have better control efficiency over the traditional TMDs, especially under more severe excitation. The control performance can be further improved with MPTMD control. The robustness can be enhanced while the attached mass for each PTMD can be greatly reduced. It is also demonstrated through the simulation that a non-uniformly distributed MPTMD has better control performance than the uniformly distributed one. Parameter study is carried out for both the PTMD and the MPTMD systems. Finally, the optimization of the design parameters, including mass ratio, initial gap value, and number of PTMD in the MPTMD system, is performed for control improvement.

폴리우레탄 폼의 비선형 진동특성 해석 (Nonliear vibration analysis of polyurethane foam)

  • 강주석
    • 한국산학기술학회논문지
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    • 제15권6호
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    • pp.3435-3441
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    • 2014
  • 차량의 시트 재질로 사용되는 폴리우레탄 폼의 모델링 및 동특성 예측은 승객의 승차감 향상을 위해 매우 중요하다. 본 연구에서는 폴리우레탄 폼의 정특성 시험을 통해 비선형 강성과 점탄성 특성의 시간변수 파라미터를 구하였다. 다항식과 컨벌루션 적분법을 이용하여 폴리우레탄 폼의 비선형 특성과 점탄성 특성을 수학적으로 모델링하였다. 이와 같은 비선형 진동 모델에 대하여 수치적분 방법을 이용하여 시트 바닥 변위에 대한 진동 응답을 계산하였다. 폴리우레탄 폼의 비선형 특성과 점탄성 특성이 진동계에서 미치는 영향을 단순 1자유도계와 인체모델을 이용하여 분석하였다. 결과적으로 폴리우레탄 폼의 점탄성 특성이 승차감을 위한 설계파라미터로 고려되어야 하는 것으로 나타났다.

Surface and small scale effects on the dynamic buckling of carbon nanotubes with smart layers assuming structural damping

  • Farokhian, Ahmad;Salmani-Tehrani, Mehdi
    • Steel and Composite Structures
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    • 제37권2호
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    • pp.229-251
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    • 2020
  • In this paper, dynamic buckling of a smart sandwich nanotube is studied. The nanostructure is composed of a carbon-nanotube with inner and outer surfaces coated with ZnO piezoelectric layers, which play the role of sensor and actuator. Nanotube is under magnetic field and ZnO layers are under electric field. The nanostructure is located in a viscoelastic environment, which is assumed to obey Visco-Pasternak model. Non-local piezo-elasticity theory is used to consider the small-scale effect, and Kelvin model is used to describe the structural damping effects. Surface stresses are taken into account based on Gurtin-Murdoch theory. Hamilton principle in conjunction with zigzag shear-deformation theory is used to obtain the governing equations. The governing equations are then solved using the differential quadrature method, to determine dynamic stability region of the nanostructure. To validate the analysis, the results for simpler case studies are compared with others reported in the literature. Then, the effect of various parameters such as small-scale, surface stresses, Visco-Pasternak environment and electric and magnetic fields on the dynamic stability region is investigated. The results show that considering the surface stresses leads to an increase in the excitation frequency and the dynamic stability region happens at higher frequencies.

Solvent Effect on Stress Relaxation of PET Filament Fibers and Self Diffusion of Crystallites

  • Nam Jeong Kim;Eung Ryul Kim;Sang Joon Hahn
    • Bulletin of the Korean Chemical Society
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    • 제12권5호
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    • pp.468-473
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    • 1991
  • Viscoelastic properties of PET filament fibers on stress relaxation were investigated in the solvents of $H_2$O, 0.05% NaOH and 50% DMF using an Instron (UTM4-100 Tensilon) with solvent chamber. The theoretical stress relaxation equation derived by applying the Ree-Eyring's hyperbolic sine law to dashpot of three element non-Newtonian model was applied to the experimental stress relaxation curves, and the model parameters $G_1,G_2$, ${\alpha}$ and ${\beta}$ were obtained. By analyzing temperature dependency of the relaxation time, the values of activation entropy, activation enthalpy and activation free energy for flow in PET filament fiber were evaluated, the activation free energy being about 25.7 kcal/mol. The self diffusion coefficient and hole distance were obtained from parameters ${\alpha}$, ${\beta}$ and crystallite size in order to study the self diffusion and the orientation of crystallites in amorphous region and the effect of solvent.

안티푸라민-에스® 로션의 레올로지 특성 연구 (Rheological Properties of Antiphlamine-S® Lotion)

  • 국화윤;송기원
    • Journal of Pharmaceutical Investigation
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    • 제39권3호
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    • pp.185-199
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    • 2009
  • Using a strain-controlled rheometer [Advanced Rheometric Expansion System (ARES)], the steady shear flow properties and the dynamic viscoelastic properties of $Antiphlamine-S^{(R)}$ lotion have been measured at $20^{\circ}C$ (storage temperature) and $37^{\circ}C$ (body temperature). In this article, the temperature dependence of the linear viscoelastic behavior was firstly reported from the experimental data obtained from a temperature-sweep test. The steady shear flow behavior was secondly reported and then the effect of shear rate on this behavior was discussed in detail. In addition, several inelastic-viscoplastic flow models including a yield stress parameter were employed to make a quantitative evaluation of the steady shear flow behavior, and then the applicability of these models was examined by calculating the various material parameters. The angular frequency dependence of the linear viscoelastic behavior was nextly explained and quantitatively predicted using a fractional derivative model. Finally, the strain amplitude dependence of the dynamic viscoelastic behavior was discussed in full to elucidate a nonlinear rheological behavior in large amplitude oscillatory shear flow fields. Main findings obtained from this study can be summarized as follows : (1) The linear viscoelastic behavior is almostly independent of temperature over a temperature range of $15{\sim}40^{circ}C$. (2) The steady shear viscosity is sharply decreased as an increase in shear rate, demonstrating a pronounced Non-Newtonian shear-thinning flow behavior. (3) The shear stress tends to approach a limiting constant value as a decrease in shear rate, exhibiting an existence of a yield stress. (4) The Herschel-Bulkley, Mizrahi-Berk and Heinz-Casson models are all applicable and have an equivalent validity to quantitatively describe the steady shear flow behavior of $Antiphlamine-S^{(R)}$ lotion whereas both the Bingham and Casson models do not give a good applicability. (5) In small amplitude oscillatory shear flow fields, the storage modulus is always greater than the loss modulus over an entire range of angular frequencies tested and both moduli show a slight dependence on angular frequency. This means that the linear viscoelastic behavior of $Antiphlamine-S^{(R)}$ lotion is dominated by an elastic nature rather than a viscous feature and that a gel-like structure is present in this system. (6) In large amplitude oscillatory shear flow fields, the storage modulus shows a nonlinear strain-thinning behavior at strain amplitude range larger than 10 % while the loss modulus exhibits a weak strain-overshoot behavior up to a strain amplitude of 50 % beyond which followed by a decrease in loss modulus with an increase in strain amplitude. (7) At sufficiently large strain amplitude range (${\gamma}_0$>100 %), the loss modulus is found to be greater than the storage modulus, indicating that a viscous property becomes superior to an elastic character in large shear deformations.

Numerical analysis of viscoelastic flows in a channel obstructed by an asymmetric array of obstacles

  • Kwon, Young-Don
    • Korea-Australia Rheology Journal
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    • 제18권3호
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    • pp.161-167
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    • 2006
  • This study presents results on the numerical simulation of Newtonian and non-Newtonian flow in a channel obstructed by an asymmetric array of obstacles for clarifying the descriptive ability of current non-Newtonian constitutive equations. Jones and Walters (1989) have performed the corresponding experiment that clearly demonstrates the characteristic difference among the flow patterns of the various liquids. In order to appropriately account for flow properties, the Navier-Stokes, the Carreau viscous and the Leonov equations are employed for Newtonian, shear thinning and extension hardening liquids, respectively. Making use of the tensor-logarithmic formulation of the Leonov model in the computational scheme, we have obtained stable solutions up to relatively high Deborah numbers. The peculiar characteristics of the non-Newtonian liquids such as shear thinning and extension hardening seem to be properly illustrated by the flow modeling. In our opinion, the results show the possibility of current constitutive modeling to appropriately describe non-Newtonian flow phenomena at least qualitatively, even though the model parameters specified for the current computation do not precisely represent material characteristics.

Parameter estimation of four-parameter viscoelastic Burger model by inverse analysis: case studies of four oil-refineries

  • Dey, Arindam;Basudhar, Prabir Kr.
    • Interaction and multiscale mechanics
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    • 제5권3호
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    • pp.211-228
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    • 2012
  • This paper reports the development of a generalized inverse analysis formulation for the parameter estimation of four-parameter Burger model. The analysis is carried out by formulating the problem as a mathematical programming formulation in terms of identification of the design vector, the objective function and the design constraints. Thereafter, the formulated constrained nonlinear multivariable problem is solved with the aid of fmincon: an in-built constrained optimization solver module available in MatLab. In order to gain experience, a synthetic case-study is considered wherein key issues such as the determination and setting up of variable bounds, global optimality of the solution and minimum number of data-points required for prediction of parameters is addressed. The results reveal that the developed technique is quite efficient in predicting the model parameters. The best result is obtained when the design variables are subjected to a lower bound without any upper bound. Global optimality of the solution is achieved using the developed technique. A minimum of 4-5 randomly selected data-points are required to achieve the optimal solution. The above technique has also been adopted for real-time settlement of four oil refineries with encouraging results.