• 제목/요약/키워드: the coefficients of elasticity

검색결과 91건 처리시간 0.024초

구강악습관이 저작근 및 안면표정근의 경직도 및 탄성도에 미치는 영향 (Effects of Oral Parafunction on the Stiffness and Elasticity in the Muscles of the Mastication and Facial Expression)

  • 김승기;김미은;김기석
    • Journal of Oral Medicine and Pain
    • /
    • 제33권1호
    • /
    • pp.85-95
    • /
    • 2008
  • 구강안면통증의 주원인의 하나인 측두하악장애는 다양한 기여요인에 의해 발생하거나 악화되는데, 특히 이갈이, 이악물기 등의 비기능적 구강악습관은 중요한 기여요인으로 고려된다. 구강악습관과 저작근의 관련성에 대해서는 근전도 등을 이용한 연구가 이루어져왔으나, 안면표정근에 미치는 영향에 대해서는 연구된 바가 거의 없다. 그러므로 본 연구는 근육의 탄성도과 경직도를 정량적으로 평가할 수 있는 촉각센서(tactile sensor)를 이용하여 구강악습관이 저작근과 안면표정근에 미치는 영향을 평가하고자 하였다. 건강하고 건전한 치열을 가지고 있으며 Class I 교합관계의 정상골격인 지원자10명(20대 남성)을 연구대상으로 선택하여 촉각센서(Venustron II, Axiom Co, 일본)를 이용하여 이완 상태와 편측 이악물기(피검자가 선호하는 측의 제1대구치 부위에서 교합측정기를 50Kg force의 힘으로 깨문 상태), 턱내밀기(전치 상하절단연이 만나는 위치까지 턱을 내민 상태), 입술힘주기(치아는 닿지 않는 상태에서 입술만 꼭 다문 상태) 상태에서 저작근과 안면표정근의 경직도와 탄성도를 측정하였다. 측정근육은 측두근 전부, 교근(이상 저작근), 전두근, 하안륜근, 대관골근, 상 하 구륜근, 이근(이상 안면표정근)이었다. 통계처리를 위해 paired t-test, correlation coefficients, ANOVA 및 multiple comparison t-tests을 사용하였다. 편측 이악물기를 할 때 측정한 모든 근육에서 경직도와 탄성도는 좌우 차이를 보이지 않고 높은 상관관계를 보였다. 교근은 편측 이악물기 뿐만 아니라 턱내밀기, 입술힘주기의 시행된 모든 구강악습관에 의해 경직도가 증가하고 탄성도는 감소하였다(p<0.05). 측두근과 대관골근은 편측 이악물기의 영향을 받았으며, 상 하구륜근 및 이근의 경직도와 탄성도는 입술힘주기에 의해 크게 변화하였다(p<0.05). 본 연구의 결과는 편측 이악물기, 턱내밀기, 입술힘주기 같은 구강악습관은 저작근뿐만 아니라 안면표정근, 특히 구강주위근육에도 영향을 준다는 것을 보여준다.

폐목재 칩을 활용한 목질계 보도포장재의 특성에 대한 기초연구 (Basic Study on the Characteristics of Wooden Sidewalk Pavement Material using Wood Waste Chip)

  • 최재진;송진우
    • 대한토목학회논문집
    • /
    • 제31권3D호
    • /
    • pp.413-420
    • /
    • 2011
  • 건설현장에서 나오는 폐목재 또는 활용가치가 낮은 벌목지에서 발생하는 나무뿌리와 가지 등의 임목폐기물을 분쇄한 목재 칩을 우레탄 수지로 결합시킨 보도용 포장재를 제안하기 위한 실험을 실시하였다. 시험체는 재료혼합비율로서 건설폐목재 칩 및 임목폐기물 칩에 대한 우레탄 수지의 질량비를 0.5, 0.75, 1.0의 3수준으로 정하고 재료 계량 후 믹서로 혼합, 성형한 다음 7일이 경과하였을 때 인장강도 시험, 골프공과 스틸볼을 이용한 탄력성 시험, 투수계수 측정 및 가연성 시험을 실시하였다. 실험결과 공기중 건조상태에서 시험체의 인장강도는 0.2~1.1MPa의 범위를 나타냈으며 재령 7일 이후의 강도 변화는 나타나지 않았다. 그러나 침수시켰을 때 강도가 저하되었으며 그 강도의 저하비율은 우레탄 수지의 사용량이 적을수록 크게 되므로 강우 등에 의한 수분 침투를 고려하여 폐목재 칩에 대한 수지의 질량비는 0.75 이상으로 하는 것이 바람직하다고 판단된다. 탄력성 시험결과로서 폐목재 칩과 우레탄 수지를 사용한 시험체의 GB계수와 SB계수는 20% 이하의 낮은 값으로 측정되어 보도용 포장재로서 우수한 특성을 나타냈다. 또한 투수계수는 모든 배합의 시험체에서 0.5mm/sec 이상으로, 투수성 포장재에 있어서 시공 후 요구되는 일반적인 투수계수의 기준값을 상회하였으며, 목질계 포장재의 가연성은 실용상 특별히 문제가 되지는 않을 것으로 판단되었다.

3층 철근콘크리트 전단벽 구조물의 지진응답해석 (Earthquake Response Analysis for Three-Story Building with Reinforced Concrete Shear Walls)

  • 이인규;이은행;김재민
    • 한국지진공학회논문집
    • /
    • 제25권3호
    • /
    • pp.103-110
    • /
    • 2021
  • A shake table test is conducted for the three-story reinforced concrete building structure using 0.28 g, 0.5 g, 0.75 g, and 1.0 g of seismic input motions based on the Gyeongju earthquake. Computational efforts are made in parallel to explore the mechanical details in the structure. For engineering practice, the elastic modulus of concrete and rebar in the dynamic analysis is reduced to 38% and 50%, respectively, to calibrate the structure's natural frequencies. The engineering approach to the reduced modulus of elasticity is believed to be due to the inability to specify the flexibility of the actual boundary conditions. This aspect may lead to disadvantages of nonlinear dynamic analysis that can distort local stress and strain relationships. The initial elastic modulus can be applied directly without the so-called engineering adjustment with infinite element models with spring and spring-dashpot boundary conditions. This has the advantage of imposing the system flexibility of the structure on the sub-boundary conditions of springs and damping devices to control its sensitivity in a serial arrangement. This can reflect the flexibility of realistic boundary conditions and the effects of system damping (such as the gap between a concrete footing and shake table, loosening of steel anchors, etc.) in scalar quantities. However, these spring and dashpot coefficients can only be coordinated based on experimental results, making it challenging to select the coefficients in-prior to perform an experimental test.

A novel method for solving structural problems: Elastoplastic analysis of a pressurized thick heterogeneous sphere

  • Abbas Heydari
    • Advances in Computational Design
    • /
    • 제9권1호
    • /
    • pp.39-52
    • /
    • 2024
  • If the governing differential equation arising from engineering problems is treated as an analytic, continuous and derivable function, it can be expanded by one point as a series of finite numbers. For the function to be zero for each value of its domain, the coefficients of each term of the same power must be zero. This results in a recursive relationship which, after applying the natural conditions or the boundary conditions, makes it possible to obtain the values of the derivatives of the function with acceptable accuracy. The elastoplastic analysis of an inhomogeneous thick sphere of metallic materials with linear variation of the modulus of elasticity, yield stress and Poisson's ratio as a function of radius subjected to internal pressure is presented. The Beltrami-Michell equation is established by combining equilibrium, compatibility and constitutive equations. Assuming axisymmetric conditions, the spherical coordinate parameters can be used as principal stress axes. Since there is no analytical solution, the natural boundary conditions are applied and the governing equations are solved using a proposed new method. The maximum effective stress of the von Mises yield criterion occurs at the inner surface; therefore, the negative sign of the linear yield stress gradation parameter should be considered to calculate the optimal yield pressure. The numerical examples are performed and the plots of the numerical results are presented. The validation of the numerical results is observed by modeling the elastoplastic heterogeneous thick sphere as a pressurized multilayer composite reservoir in Abaqus software. The subroutine USDFLD was additionally written to model the continuous gradation of the material.

Vibration analysis of sandwich sectorial plates considering FG wavy CNT-reinforced face sheets

  • Tahouneh, Vahid
    • Steel and Composite Structures
    • /
    • 제28권5호
    • /
    • pp.541-557
    • /
    • 2018
  • This paper presents the influence of carbon nanotubes (CNTs) waviness and aspect ratio on the vibrational behavior of functionally graded nanocomposite sandwich annular sector plates resting on two-parameter elastic foundations. The carbon nanotube-reinforced (CNTR) sandwich plate has smooth variation of CNT fraction along the thickness direction. The distributions of CNTs are considered functionally graded (FG) or uniform along the thickness and their mechanical properties are estimated by an extended rule of mixture. In this study, the classical theory concerning the mechanical efficiency of a matrix embedding finite length fibers has been modified by introducing the tube-to-tube random contact, which explicitly accounts for the progressive reduction of the tubes' effective aspect ratio as the filler content increases. Effects of CNT distribution, volume fraction, aspect ratio and waviness, and also effects of Pasternak's elastic foundation coefficients, sandwich plate thickness, face sheets thickness and plate aspect ratio are investigated on the free vibration of the sandwich plates with wavy CNT-reinforced face sheets. The study is carried out based on three-dimensional theory of elasticity and in contrary to two-dimensional theories, such as classical, the first- and the higher-order shear deformation plate theories, this approach does not neglect transverse normal deformations. The sandwich annular sector plate is assumed to be simply supported in the radial edges while any arbitrary boundary conditions are applied to the other two circular edges including simply supported, clamped and free.

Effects of size-dependence on static and free vibration of FGP nanobeams using finite element method based on nonlocal strain gradient theory

  • Pham, Quoc-Hoa;Nguyen, Phu-Cuong
    • Steel and Composite Structures
    • /
    • 제45권3호
    • /
    • pp.331-348
    • /
    • 2022
  • The main goal of this article is to develop the finite element formulation based on the nonlocal strain gradient and the refined higher-order deformation theory employing a new function f(z) to investigate the static bending and free vibration of functionally graded porous (FGP) nanobeams. The proposed model considers the simultaneous effects of two parameters: nonlocal and strain gradient coefficients. The nanobeam is made by FGP material that exists in un-even and logarithmic-uneven distribution. The governing equation of the nanobeam is established based on Hamilton's principle. The authors use a 2-node beam element, each node with 8 degrees of freedom (DOFs) approximated by the C1 and C2 continuous Hermit functions to obtain the elemental stiffness matrix and mass matrix. The accuracy of the proposed model is tested by comparison with the results of reputable published works. From here, the influences of the parameters: nonlocal elasticity, strain gradient, porosity, and boundary conditions are studied.

Free vibration analysis of bidirectional functionally graded annular plates resting on elastic foundations using differential quadrature method

  • Tahouneh, Vahid
    • Structural Engineering and Mechanics
    • /
    • 제52권4호
    • /
    • pp.663-686
    • /
    • 2014
  • This paper deals with free vibration analysis of bidirectional functionally graded annular plates resting on a two-parameter elastic foundation. The formulations are based on the three-dimensional elasticity theory. This study presents a novel 2-D six-parameter power-law distribution for ceramic volume fraction of 2-D functionally graded materials that gives designers a powerful tool for flexible designing of structures under multi-functional requirements. Various material profiles along the thickness and in the in-plane directions are illustrated by using the 2-D power-law distribution. The effective material properties at a point are determined in terms of the local volume fractions and the material properties by the Mori-Tanaka scheme. The 2-D differential quadrature method as an efficient and accurate numerical tool is used to discretize the governing equations and to implement the boundary conditions. The fast rate of convergence of the method is shown and the results are compared against existing results in literature. Some new results for natural frequencies of the plates are prepared, which include the effects of elastic coefficients of foundation, boundary conditions, material and geometrical parameters. The interesting results indicate that a graded ceramic volume fraction in two directions has a higher capability to reduce the natural frequency than conventional 1-D functionally graded materials.

Analytical solutions using a higher order refined theory for the stability analysis of laminated composite and sandwich plates

  • Kant, T.;Swaminathan, K.
    • Structural Engineering and Mechanics
    • /
    • 제10권4호
    • /
    • pp.337-357
    • /
    • 2000
  • Analytical formulations and solutions for the first time, to the stability analysis of a simply supported composite and sandwich plates based on a higher order refined theory, developed by the first author and already reported in the literature are presented. The theoretical model presented herein incorporates laminate deformations which account for the effects of transverse shear deformation, transverse normal strain/stress and a nonlinear variation of inplane displacements with respect to the thickness coordinate - thus modelling the warping of transverse cross sections more accurately and eliminating the need for shear correction coefficients. The equations of equilibrium are obtained using the Principle of Minimum Potential Energy (PMPE). The comparison of the results using this higher order refined theory with the available elasticity solutions and the results computed independently using the first order and the other higher order theories developed by other investigators and available in the literature shows that this refined theory predicts the critical buckling load more accurately than all other theories considered in this paper. New results for sandwich laminates are also presented which may serve as a benchmark for future investigations.

Porosity-dependent asymmetric thermal buckling of inhomogeneous annular nanoplates resting on elastic substrate

  • Salari, Erfan;Ashoori, Alireza;Vanini, Seyed Ali Sadough
    • Advances in nano research
    • /
    • 제7권1호
    • /
    • pp.25-38
    • /
    • 2019
  • This research is aimed at studying the asymmetric thermal buckling of porous functionally graded (FG) annular nanoplates resting on an elastic substrate which are made of two different sets of porous distribution, based on nonlocal elasticity theory. Porosity-dependent properties of inhomogeneous nanoplates are supposed to vary through the thickness direction and are defined via a modified power law function in which the porosities with even and uneven type are approximated. In this model, three types of thermal loading, i.e., uniform temperature rise, linear temperature distribution and heat conduction across the thickness direction are considered. Based on Hamilton's principle and the adjacent equilibrium criterion, the stability equations of nanoporous annular plates on elastic substrate are obtained. Afterwards, an analytical solution procedure is established to achieve the critical buckling temperatures of annular nanoplates with porosities under different loading conditions. Detailed numerical studies are performed to demonstrate the influences of the porosity volume fraction, various thermal loading, material gradation, nonlocal parameter for higher modes, elastic substrate coefficients and geometrical dimensions on the critical buckling temperatures of a nanoporous annular plate. Also, it is discussed that because of present of thermal moment at the boundary conditions, porous nanoplate with simply supported boundary condition doesn't buckle.

Free vibration analysis of nonlocal viscoelastic nanobeam with holes and elastic foundations by Navier analytical method

  • Ola A. Siam;Rabab A. Shanab;Mohamed A. Eltaher;Norhan A. Mohamed
    • Advances in aircraft and spacecraft science
    • /
    • 제10권3호
    • /
    • pp.257-279
    • /
    • 2023
  • This manuscript is dedicated to deriving the closed form solutions of free vibration of viscoelastic nanobeam embedded in an elastic medium using nonlocal differential Eringen elasticity theory that not considered before. The kinematic displacements of Euler-Bernoulli and Timoshenko theories are developed to consider the thin nanobeam structure (i.e., zero shear strain/stress) and moderated thick nanobeam (with constant shear strain/stress). To consider the internal damping viscoelastic effect of the structure, Kelvin/Voigt constitutive relation is proposed. The perforation geometry is intended by uniform symmetric squared holes arranged array with equal space. The partial differential equations of motion and boundary conditions of viscoelastic perforated nonlocal nanobeam with elastic foundation are derived by Hamilton principle. Closed form solutions of damped and natural frequencies are evaluated explicitly and verified with prestigious studies. Parametric studies are performed to signify the impact of elastic foundation parameters, viscoelastic coefficients, nanoscale, supporting boundary conditions, and perforation geometry on the dynamic behavior. The closed form solutions can be implemented in the analysis of viscoelastic NEMS/MEMS with perforations and embedded in elastic medium.