• Advances in nano research
• /
• v.6 no.3
• /
• pp.219-242
• /
• 2018

In this study, static bending of an edge cracked cantilever nanobeam composed of functionally graded material (FGM) subjected to transversal point load at the free end of the beam is investigated based on modified couple stress theory. Material properties of the beam change in the height direction according to exponential distributions. The cracked nanobeam is modelled using a proper modification of the classical cracked-beam theory consisting of two sub-nanobeams connected through a massless elastic rotational spring. The inclusion of an additional material parameter enables the new beam model to capture the size effect. The new non-classical beam model reduces to the classical beam model when the length scale parameter is set to zero. The considered problem is investigated within the Euler-Bernoulli beam theory by using finite element method. In order to establish the accuracy of the present formulation and results, the deflections are obtained, and compared with the published results available in the literature. Good agreement is observed. In the numerical study, the static deflections of the edge cracked FGM nanobeams are calculated and discussed for different crack positions, different lengths of the beam, different length scale parameter, different crack depths, and different material distributions. Also, the difference between the classical beam theory and modified couple stress theory is investigated for static bending of edge cracked FGM nanobeams. It is believed that the tabulated results will be a reference with which other researchers can compare their results.

• Structural Engineering and Mechanics
• /
• v.33 no.6
• /
• pp.675-696
• /
• 2009

In this paper, a unified solution method is presented for the classical beam theory. In Strength of Materials approach, the geometry, material properties and load system are known and related with the unknowns of forces, moments, slopes and deformations by applying a classical differential analysis in addition to equilibrium, constitutive, and kinematic laws. All these relations are expressed in a unified formulation for the classical beam theory. In the special case of simple beams, a system of four linear ordinary differential equations of first order represents the general mechanical behaviour of a straight beam. These equations are solved using the numerical differential quadrature method (DQM). The application of DQM has the advantages of mathematical consistency and conceptual simplicity. The numerical procedure is simple and gives clear understanding. This systematic way of obtaining influence line, bending moment, shear force diagrams and deformed shape for the beams with geometric and load discontinuities has been discussed in this paper. Buckling loads and natural frequencies of any beam prismatic or non-prismatic with any type of support conditions can be evaluated with ease.

• Journal of Korean Medical classics
• /
• v.24 no.3
• /
• pp.27-47
• /
• 2011

Donguisusebowon(東醫壽世保元) doesn't have pretty large quantity of contents, so indications of Four-Constitution Medicine formulas on that medical book are small. Therefore, indications of Four-Constitution Medicine formula need to be extended for broader clinical use of Four-Constitution Medicine. There would be some methods to do that, and we could review the literatures that Four-Constitution Medicine formulas are based on. We reviewed Bojungyikgi-tang on "Dongeuibogam(東醫寶鑑)", and we found that if the Four-Constitution Medicine formula is based on Sanghan formula(傷寒方) or non-classical formula(後世方), it is worth adding more indications of base formulas to those of Four-Constitution Medicine formula. For exmaple, Indications of Bojungyikgi-tang for So-Eum type could be extended by indications of non-classical formula(後世方) Bojungyikgi-tang and modified formula(加減方) Bojungyikgi-tang on Dongeuibogam, We supposed 23 indications of non-classical formula(後世方) Bojungyikgi-tang, and 20 indications of modified formula(加減方) Bojungyikgi-tang as possible indications of Bojungyikgi-tang for So-Eum type.

• Proceedings of the KSMRM Conference
• /
• 2002.11a
• /
• pp.108-108
• /
• 2002

Purpose： We had hypothesized that the perceiving green related (more natural like forest, woods etc.) objects causes more emotional cue or salience than non-green related objects. Method： Six subjects participated the study. We used a classical block or box car design for the MRI experiment. Six green related and six non-green related pictures were presented 2 sec each as one block. As baseline T and ㅗ shapes were presented in the same fashion as one block.

• Journal of the Korean Mathematical Society
• /
• v.46 no.5
• /
• pp.1041-1069
• /
• 2009

We study the periodic homogenization of the non-stationary Stokes equations. The fundamental homogenization theorem and corrector theorem are proved under a very general assumption on the viscosity coefficients and data. The proofs are based on a weak formulation suitable for an application of classical Tartar's method of oscillating test functions. Such a weak formulation is derived by adapting an argument in Teman's book [Navier-Stokes Equations: Theory and Numerical Analysis, North-Holland, Amsterdam, 1984].

• Honam Mathematical Journal
• /
• v.43 no.3
• /
• pp.503-511
• /
• 2021

In this present work, we obtain certain coefficients of the subclass 𝓗_λ,𝛄(s, b, n) of non-Bazilević functions and estimate the relevant connection to the famous classical Fekete-Szegö inequality of functions belonging to this class.

• Computational Structural Engineering
• /
• v.11 no.1
• /
• pp.171-178
• /
• 1998

The added viscoelastic dampers increase damping and stiffness of buildings and results in so called non-classical or non-proportional damping problem. In this system the eigenvectors of the undamped system may not diagonalize the damping matrix, and the system is generally analyzed by converting the equation of motion into a 2n first order state-space form. As this approach is complex and time-consuming compared to the classically damped problem, the system is often analyzed by neglecting the off-diagonal terms in the damping matrix. In this paper the theoretical background of the approximate approach is studied, and the vibration characteristics of a three-story shear building with a viscoelastic damper are investigated using the exact and approximate method. It is found that the approximate method may produce good result when the additional damping is small, but as the damping increases the error also increase.

• Journal of Communications and Networks
• /
• v.12 no.4
• /
• pp.366-374
• /
• 2010

Coded cooperation is a promising user cooperation scheme. In this paper, we first propose a novel network-coding-based coded cooperation scheme. When a user decodes its partner's information correctly in the first frame, it transmits the combination of the partner's parity bits and its own parity bits through network coding in the second frame. This is distinct from the classical scheme, where the user only transmits the partner's parity bits during cooperation. We analyze the outage probability of the proposed scheme, and show that it achieves a full diversity order. Numerical evaluations reveal that the proposed scheme outperforms the classical scheme when the inter-user channel is poor, yet is worse when the inter-user channel is strong. Also, the results show that the proposed scheme always outperforms that of no cooperation in various channel conditions while the performance of classical scheme is worse than that of no cooperation with the poor inter-user channels. This means that the performance of the proposed scheme is more stable than the classical scheme and the proposed scheme is more tolerant to the poor inter-user channels. To combine the advantages of the proposed scheme and the classical scheme under different inter-user channel conditions, we propose an adaptive solution. This adaptive scheme enhances the system performance considerably in all channel conditions in spite of the inter-user channel quality, at the expense of only one acknowledgement or non-acknowledgement bit.

• 한국논리학회:학술대회논문집
• /
• 2009.05a
• /
• pp.38-66
• /
• 2009

Weakening-free non-associative fuzzy logics, which are based on mica-norms, are introduced as non-associative substructural logics extending $GL_{e\bot}$ (Non-associative Full Lambek calculus with exchange and constants T, F) introduced by Galatos and Ono (cf. see [10, 11]). First, the mica-norm logic MICAL, which is intended to cope with the tautologies of left-continuous conjunctive mica-norms and their residua, and several axiomatic extensions of it are introduced as weakening-free non-associative fuzzy logics. The algebraic structures corresponding to the systems are then defined, and algebraic completeness results for them are provided. Next, standard completeness (i,e. completeness with respect to algebras whose lattice reduct is the real unit interval [0, 1]) is established for these logics by using Jenei and Montagna-style approach for proving standard completeness in [7, 18].

• Journal of computational fluids engineering
• /
• v.8 no.3
• /
• pp.21-31
• /
• 2003

A non-dissipative and very accurate one-dimensional upwind leapfrog method is extended to higher-order and multi-dimensional advection and acoustic equations. The higher-order versions are developed by extending the stencils in space and time. The schemes are then successfully applied to the classical test cases for advection and acoustics.