• Structural Engineering and Mechanics
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• 제5권2호
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• pp.209-220
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• 1997

The dynamic equations for an arbitrary cluster comprising rigid spheres or assemblies of spheres (subclusters) encountered in granular-type systems are considered. The system is treated within the framework of multibody dynamics. It is shown that for an arbitrary cluster topology the governing equations can be given in an explicit scalar from. The derivation is based on the D'Alembert principle, on inertial coordinate system for each body and direct utilization of the path matrix describing the topology. The scalar form of the equations is important in computer simulations of flow of granular-type materials. An illustrative example of a three-body system is given.

• Wind and Structures
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• 제32권1호
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• pp.19-30
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• 2021

This study presents buckling analysis of a simply supported sandwich plate with functionally graded porous layers. In the kinematic relation of the plate, a hyperbolic shear displacement model is used. The governing equations of the problem are derived by using the principle of virtual work. In the solution of the governing equations, the Navier procedure is implemented. In the porosity effect, four different porosity types are used for functionally graded sandwich layers. In the numerical examples, the effects of the porosity parameters, porosity types and geometry parameters on the critical buckling of the functionally graded sandwich plates are investigated.

• Advances in concrete construction
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• 제15권5호
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• pp.349-358
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• 2023

Aim of this work is investigating effect of thickness-stretching formulation on the quasi three-dimensional analysis of micro plate based on a thickness-stretched and shear deformable model through principle of virtual work and micro-scale dependent constitutive relations. Governing differential equations are derived in terms of five unknown functions and the analytical solution is derived using Navier's technique. To explore effect of thickness stretching model on the static results, a comparison between the results with and without thickness stretching effect is presented.

• 한국해양공학회지
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• 제10권3호
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• pp.96-104
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• 1996

Hamilton's principle is used to derive Euler-Lagrange equations for free surface flow problems of incompressible ideal fluid. The velocity field is chosen to satisfy the continuity equation a priori. This approach results in a hierarchial set of governing equations consist of two evolution equations with respect to two canonical variables and corresponding boundary value problems. The free surface elevation and the Lagrange's multiplier are the canonical variables in Hamilton's sense. This Lagrange's multiplier is a velocity potential defined on the free surface. Energy is conserved as a consequence of the Hamiltonian structure. These equations can be applied to waves in water of finite depth including generalization of Hamilton's equations given by Miles and Salmon.

• 한국추진공학회지
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• 제7권2호
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• pp.36-43
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• 2003

탄소섬유 T700/Epoxy로 만든 직교이방성 구조로 된 두께가 얇은 압력용기의 반경방향의 변위에 관한 해를 곡선좌표계의 평형방정식을 사용하여 구하였다. 3차원 곡선좌표계의 변형율과 변위의 관계를 간단히 하면서 지배방정식을 유도하기 위해 변분이론과 가상일의 원리를 사용하였다. 다른 여러 종류의 직교이방성 압력용기에 대한 계산 결과를 제시했으며 수압시험을 한 결과와 비교 검토하였다. 계산결과와 시험결과는 비교적 잘 일치하였다.

• 한국중재학회지:중재연구
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• 제14권2호
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• pp.199-241
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• 2004

This paper discusses to what extent the party autonomy can be allowed in intellectual property dispute resolution agreements in determination of governing law, international jurisdiction, and ADR agreement for arbitration, etc. in considering of the territoriality principle of IP. The party autonomy in choice of governing law and jurisdiction can be fully enjoyed in IP contract disputes. However, the freedom of choice is limited to the disputes regarding IF infringement disputes. The party autonomy is denied in the issues of determination of validity of patent or other IP rights. The author seeks the possibility to allow as much freedom in making choice of applicable law or jurisdiction, or entering into arbitration agreement.

• Structural Engineering and Mechanics
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• 제81권6호
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• pp.705-714
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• 2022

The aim of this paper is to investigate nonlinear dynamic responses of functionally graded composite beam resting on the nonlinear viscoelastic foundation subjected to moving mass with temperature rising. The non-linear strain-displacement relationship is considered in the finite strain theory and the governing nonlinear dynamic equation is obtained by using the Hamilton's principle. The Galerkin's decomposition technique is utilized to discretize the governing nonlinear partial differential equation to nonlinear ordinary differential equation and then the governing equation is solved by using of multiple time scale method. The influences of temperature rising, material distribution parameter, nonlinear viscoelastic foundation parameters, magnitude and velocity of the moving mass on the nonlinear dynamic responses are investigated. Also, the buckling temperatures of the functionally graded beams based on the finite strain theory are obtained.

• 한국중재학회지:중재연구
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• 제9권1호
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• pp.161-182
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• 1999

The purpose of this paper is to examine the applicability of the UNIDROIT Principle in international commercial arbitration. For this purpose, I have studies the basic two characters of this Principles: One is of general rule(principle); Another is of international and commercial character. According to CISG, questions concerning matters governed by the CISG which are not expressly settled in it are to be settled in conformity with the general principles, so this Principles will cover many questions which are not expressly settled in the applicable law, by gap-filing, analogy or usage. In the preamble of this Principles, there are five cases in which the Principles shall be applied or may be applied. If the disputes are submitted to the any national court, the application of this Principles would be restricted because of the mandatory rules of national, international or supranational origin. But the disputes are submitted to arbitration, the arbitrator would have more discretional powers to apply the Principles than the judge. The reason is that in the arbitration, the arbitrators do not bear obligation to act in conformity with the law applicable by virtue of the rules of rules of private international law. I also examined the applicability of the Principles in cases which there are no mentions in preamble: When the international arbitrators choose the Principles; When the arbitrators decide ex aequo et bono; When the both parties have not chosen the governing law; When there are gaps in domestic law chosen by the parties; When the applicable domestic law is insufficient. In all these cases, the Principles may be applied more easily and conveniently in arbitration than in litigation. Thus to envisage the application of this Principle in international arbitration, first both parties in international commercial contracts should incorporate this Principle as a governing law in their contracts, and second, the arbitrators should try to apply this Principles in their arbitrations by choice, analogy, general principles or usage.

• Steel and Composite Structures
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• 제35권3호
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• pp.449-462
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• 2020

This work aims to study effects of the crack and the surface energy on the free longitudinal vibration of axially functionally graded nanorods. The surface energy parameters considered are the surface stress, the surface density, and the surface Lamé constants. The cracked nanorod is modelled by dividing it into two parts connected by a linear spring in which its stiffness is related to the crack severity. The surface and bulk material properties are considered to vary in the length direction according to the power law distribution. Hamilton's principle is implemented to derive the governing equation of motion and boundary conditions. Considering the surface stress causes that the derived governing equation of motion becomes non-homogeneous while this was not the case in works that only the surface density and the surface Lamé constants were considered. To extract the frequencies of nanorod, firstly the non-homogeneous governing equation is converted to a homogeneous one using an appropriate change of variable, and then for clamped-clamped and clamped-free boundary conditions the governing equation is solved using the harmonic differential quadrature method. Since the present work considers effects of all the surface energy parameters, it can be claimed that this is a comprehensive work in this regard.

• Geomechanics and Engineering
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• 제23권3호
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• pp.275-287
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• 2020

Rectangular barrettes have been increasingly used as foundations for many infrastructure projects, but the vertical vibration of a barrette has been rarely addressed theoretically. This paper presents an analysis method of dynamic response for a rectangular barrette subjected to a time-harmonic vertical force with the aid of a modified Vlasov foundation model in multilayered viscoelastic soil. The barrette-soil system is modeled as a continuum, the vertical continuous displacement model for the barrette and soil is proposed. The governing equations of the barrette-soil system and the boundary conditions are obtained and the vertical shaft resistance of barrette is established by employing Hamilton's principle for the system and thin layer element, respectively. The physical meaning of the governing equations and shaft resistance is interpreted. The iterative solution algorithm flow is proposed to obtain the dynamic response of barrette. Good agreement of the analysis and comparison confirms the correctness of the present solution. A parametric study is further used to demonstrate the effects of cross section aspect ratio of barrettes, depth of soil column, and module ratio of substratum to the upper soil layers on the complex barrette-head stiffness and the resistance stiffness.