• Title/Summary/Keyword: axial theory

Search Result 612, Processing Time 0.024 seconds

Geometrical Characteristics and Atomic Charge Variations of Pd(II) Complexes [Pd(L)Cl2] with an Axial (Pd·O) Interaction

  • Park, Jong-Keun;Cho, Yong-Guk;Lee, Shim-Sung;Kim, Bong-Gon
    • Bulletin of the Korean Chemical Society
    • /
    • v.25 no.1
    • /
    • pp.85-89
    • /
    • 2004
  • Geometrical structures of [Pd(L)$Cl_2$] with oxathia macrocycles have been calculated using ab initio secondorder Moller-Plesset (MP2) and Density Functional Theory (DFT) methods with triple zeta plus polarization (TZP) basis set level. In optimized Pd(L)$Cl_2$ complexes, Pd(II) locates at the center surrounded by a square planar array of two sulfurs on an oxathia macrocycle and two chlorides. The endo-Pd(II) complexes with an axial (Pd${\cdots}$O) interaction are more stable than the exo-Pd(II) complexes without the interaction. In the endo-Pd(II) complexes, the atomic charge of the oxygen atom moves to Pd(II) via the axial ($Pd{\cdots}$O) interaction and then, the charge transfer from Pd(II) to the S-atoms occurs stepwise via ${\pi}$-acceptors of the empty d-orbitals.

Theoretical analysis of chirality and scale effects on critical buckling load of zigzag triple walled carbon nanotubes under axial compression embedded in polymeric matrix

  • Bensattalah, Tayeb;Zidour, Mohamed;Daouadji, Tahar Hassaine;Bouakaz, Khaled
    • Structural Engineering and Mechanics
    • /
    • v.70 no.3
    • /
    • pp.269-277
    • /
    • 2019
  • Using the non-local elasticity theory, Timoshenko beam model is developed to study the non- local buckling of Triple-walled carbon nanotubes (TWCNTs) embedded in an elastic medium under axial compression. The chirality and small scale effects are considered. The effects of the surrounding elastic medium based on a Winkler model and van der Waals' (vdW) forces between the inner and middle, also between the middle and outer nanotubes are taken into account. Considering the small-scale effects, the governing equilibrium equations are derived and the critical buckling loads under axial compression are obtained. The results show that the critical buckling load can be overestimated by the local beam model if the small-scale effect is overlooked for long nanotubes. In addition, significant dependence of the critical buckling loads on the chirality of zigzag carbon nanotube is confirmed. Furthermore, in order to estimate the impact of elastic medium on the non-local critical buckling load of TWCNTs under axial compression, the use of these findings are important in mechanical design considerations, improve and reinforcement of devices that use carbon nanotubes.

Comprehensive study of internal modals interactions: Comparison of various axial nonlinear beam theories

  • Somaye Jamali Shakhlavi;Reza Nazemnezhad
    • Advances in nano research
    • /
    • v.16 no.3
    • /
    • pp.273-288
    • /
    • 2024
  • The geometrical nonlinear vibrations of the gold nanoscale rod are investigated for the first time by considering the internal modals interactions using different nonlinear beam theories. This phenomenon is usually one of the important features of nonlinear vibration systems. For a more detailed analysis, the von-Karman effects, preserving all the nonlinear terms in the strain-displacement relationships of gold nanoscale rods in three displacement directions, are considered to analyze the nonlinear axial vibrations of gold nanoscale rods. It uses highly accurate analytical-numerical solutions for the clamped-clamped and clamped-free boundary conditions of nanoscale gold rods. Also, with the help of Hamilton's principle, the governing equation and boundary conditions are derived based on Eringen's theory. The influence of nonlinear and nonlocal factors on axial vibrations was investigated separately for all three theories: Simple (ST), Rayleigh (RT) and Bishop (BT). Using different theories, the effects of inertia and shear on the internal resonances of gold nanorods were studied and compared in terms of twoto-one and three-to-one internal resonances. As the nonlocal parameter of the gold nanorod increases, the maximum nonlinear amplitude occurs. So, by adding nonlocal effects in a gold nanorod, the internal modal interactions resulting from the unique structure can be enhanced. It is worth noting that shear and inertial analysis have a significant effect on internal modal interactions in gold nanorods.

Unified theory of reinforced concrete-A summary

  • Hsu, Thomas T.C.
    • Structural Engineering and Mechanics
    • /
    • v.2 no.1
    • /
    • pp.1-16
    • /
    • 1994
  • A unified theory has recently been developed for reinforced concrete structures (Hsu 1993), subjected to the four basic actions - bending, axial load, shear and torsion. The theory has five components, namely, the struts-and-ties model, the equilibrium (or plasticity) truss model, the Bernoulli compatibility truss model, the Mohr compatibility truss model and the softened truss model. Because the last three models can satisfy the stress equilibrium, the strain compatibility and the constitutive laws of materials, they can predict not only the strength, but also the load-deformation history of a member. In this paper the five models are summarized to illustrate their intrinsic consistency.

Prediction of the Flow Characteristics of Jet Fan in a Confined Space (제한공간에 설치된 제트팬의 기류특성 예측)

  • 이재헌;환유준;김경환;임윤철;오명도;김종필
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.14 no.3
    • /
    • pp.206-213
    • /
    • 2002
  • In this paper, the flow characteristics of an axial fan spraying isothermal compact jet in a confined space were investigated by the experimental methods, the numerical method, and the free jet theory According to the results, the numerical result and the experimental result are agreed well qualitatively and different quantitatively within $\pm1.0%$ for the centerline velocity, the entrainment ratio, and the maximum throw. However, the free jet theory can reasonably predict the centerline velocity except the entrainment ratio and the maximum throw. In other words, the entrainment ratio and the maximum throw by 1.he free jet theory are hard to estimate the characteristics of jet because of restriction of c confined space.

Static behavior of nonlocal Euler-Bernoulli beam model embedded in an elastic medium using mixed finite element formulation

  • Nguyen, Tuan Ngoc;Kim, Nam-Il;Lee, Jaehong
    • Structural Engineering and Mechanics
    • /
    • v.63 no.2
    • /
    • pp.137-146
    • /
    • 2017
  • The size-dependent behavior of single walled carbon nanotubes (SWCNT) embedded in the elastic medium and subjected to the initial axial force is investigated using the mixed finite element method. The SWCNT is assumed to be Euler-Bernoulli beam incorporating nonlocal theory developed by Eringen. The mixed finite element model shows its great advantage of dealing with nonlocal behavior of SWCNT subjected to a concentrated load owing to the existence of two coefficients ${\alpha}_1$ and ${\alpha}_2$. This is the first numerical approach to deal with a puzzling fact of nonlocal theory with concentrated load. Numerical examples are performed to show the accuracy and efficiency of the present method. In addition, parametric study is carefully carried out to point out the influences of nonlocal effect, the elastic medium, and the initial axial force on the behavior of the carbon nanotubes.

Scattering of Coaxial Waveguide with Periodic Axial Slots Using Characteristic Mode Theory : TE Case (특성모드 이론을 이용한 주기적인 축방향 슬롯이 있는 동축선로 도파관 구조의 산란특성 : TE의 경우)

  • 윤리호;조영기
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.8 no.6
    • /
    • pp.629-635
    • /
    • 1997
  • The theory of characteristic modes for coaxial waveguide with periodic axial slots is used to derive the weighted eigenvalue equation for calculating the characteristic values and the characteristic currents. Once the characteristic values and the characteristic currents are obtained, the important quantities such as the equivalent magnetic current, radiation patterns, and RCS are determined. Numerical results of the equivalent magnetic currents, radiation patterns, and RCS are compared with those obtained by use of the method of moments. A fairly good correspondence is observed between them.

  • PDF

Shear Deformation based on the Biaxial Tension-Compression Theory in Prestressed Concrete Members applied by Axial Loading (이축인장압축장이론에 기반한 PSC보의 전단변형)

  • Jeong, Jae-Pyong;Kim, Dae-Joong;Mo, Gui-Suk;Kim, Woo
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2006.11a
    • /
    • pp.281-284
    • /
    • 2006
  • ASCE-ACI Committee 426 and 445, on Shear and Torsion, well noted in their report that recent research work regarding shear and torsion had been devoted primarily to members. But it was not logical approach of PSC members applied by axial force based on the shear deformation in web element. And it was not included that the effect of axial is to shift the shear strain(or crack width) in the web element versus the applied shear curve up or down by the amount by which the biaxial tension-compression state varies. The shear strength also increases or decreases, so that the change in shear strain at service load due to the presence of axial load is to some extent changed. Generally, in corresponding beams the shear strain at service load is less in the beam subject to axial compression and greater in the beam subject to axial tension, than in the beam without axial load. In particular, however, no research were available on the shear deformation in shear of PSC members with web reinforcement, subject to axial force in addition to shear and bending. Therefore, this study was basically performed to develop the program for the calculation of the shear deformation based on the shear effect of axial force in prestressed concrete members.

  • PDF

Natural Frequencies of Laminated Composite Plates Attached Point Mass Under an Uniform Axial-Loading (등분포 축하중을 받고 첨가질량이 재하된 적충복합판의 고유진동수)

  • Park, Jae-Sean;Hong, Chang-Woo;Lee, Jung-Ho;Lee, Joo-Hyung
    • Journal of Industrial Technology
    • /
    • v.19
    • /
    • pp.235-243
    • /
    • 1999
  • Vibration analysis for some of simple supported antisymmetric composite laminated plate loaded uniformly distributed axial force and attached mass was carried out. Because it is complicated to analysis this type of plate by theory of antisymmetric laminate, possibility for application of theory of special orthotropic laminate was studied, and natural frequency of laminated plate attached mass was calculated. Stiffness $B_{16}$, $B_{26}$, $D_{16}$, $D_{26}$ for this type of antisymmetric laminated plate converge on zero as the number of ply increases and it is possible to use classical theory by reason that considered plate has quasi-homogeneity without relevance to variation of angle. Difference between results by theory of antisymmetric and special orthotropic laminate is 0.36~1.96%, therefore it is convenient to analyze this by use of theory of special orthotropic laminate. When composite laminated plate with attached mass is analyzed range that was able to neglect self-weight of plate was proposed.

  • PDF

Natural Frequencies of Laminated Composite Plates with Attached Mass Under an Uniform Axial-Loading (등분포 축하중을 받고 첨가질량이 재하된 적층복합판의 고유진동수에 관한 연구)

  • Hong, Chang-Woo;Kim, Kyeong-Jin
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.4 no.4
    • /
    • pp.181-190
    • /
    • 2000
  • Vibration analysis for some of simple supported antisymmetric composite laminated plate loaded uniform axial-loading and attached mass was carried out. Because it is complicated to analyze this type of plate by theory of antisymmetric laminate possibility for application of theory of special orthotropic laminate was studied, and natural frequency of laminated plate attached mass was calculated. Stiffness $B_{16}$, $B_{26}$, $D_{16}$, $D_{26}$ for this type of antisymmetric laminated plate converge on zero as the number of ply increases and it is possible to use classical theory by reason that considered plate has quasi-homogeneity without relevance to variation of angle. Difference between results by theory of antisymmetric and special orthotropic laminate is 0.36~1.96%, therefore it is convenient to analyze this by use of theory of special orthotropic laminate. When composite laminated plate with attached mass is analyzed range that Was able to neglect self-weight of plate was proposed.

  • PDF