• Computational Structural Engineering
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• v.9 no.1
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• pp.133-139
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• 1996

In this paper, an approximate method is developed to obtain the natural frequencies of the out of plane vibration of circular curved beams. The governing differential equations are derived using the dynamic equilibrium equations with the Timoshenko theory, and solved numerically. The Runge-Kutta method and Regula-Falsi method are used to integrate the differential equations and to determine the natural frequencies, respectively. In numerical examples, the hinged-hinged and clamped-clamped end constraints are considered. For each case, the four lowest natural frequencies are reported as functions of four non-dimensional system parameters.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.8 no.2
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• pp.227-238
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• 1988

The curved structures in space, such as multi-level inter-changes, ramped structures, and circular curved structures etc., are modelled as helically curved members with constant helix angle in this study. Equilibrium equations are derived, considering the geometrical properties and initial curvatures of helix. Modal equations of the simply supported helically curved members which can calculate the normalized natural frequencies are derived from these equations by assuming the modal shape function. These equations are used to calculate the normalized natural frequencies of the simply supported helically curved members and verify the distribution of the natural frequencies of them.

• Journal of Korean Society of Steel Construction
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• v.11 no.2 s.39
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• pp.153-165
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• 1999

In order to trace the lateral-torsional post-bucking behaviors of thin-walled space frames with non-symmetric cross sections, a geometrically non-linear finite element formulation is presented by applying incremental equilibrium equations based on the updated Lagrangian formulation and introducing Vlasov's assumption. The improved displacement field for non-symmetric thin-walled cross sections is introduced based on inclusion of second order terms of finite rotations, and the potential energy corresponding to the semitangential rotations and moments is consistently derived. For finite element analysis, tangent stiffness matrices of thin-walled space frame element are derived by using the Hermition polynomials as shape functions. A co-rotational formulation in order to evaluate the unbalanced loads is presented by separating the rigid body rotations and pure deformations from incremental displacements and evaluating the updated direction cosines and incremental member forces.

• Transactions of the Korean Society of Mechanical Engineers
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• v.13 no.4
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• pp.572-582
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• 1989

Elastic deformations of an infinitely long strip and a beam loaded by uniform pressure upon their upper surfaces, with the fixed-free end dondition, are considered within the range of small strains. All local governing equations are satisfied up to first order in strains, and to take into account the higher order terms neglected in the local governing equations, the overall equilibrium is imposed exactly up to the leading order. The success of the approach relies upon the semi-inverse method and the decomposition of deformations in which the classical linear theory guides the solution. The solution bridges the gap between the two extremes-the classical solutions valid only for infinitesimal deformations and the solutions form the technical theories for deformations with large rotations. The solutions may be used to confirm the technical theories and to verify numerical solutions obtained from finite element analysis.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.5 no.3
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• pp.31-38
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• 1985

The governing differential equations and the boundary conditions for the free vibration of fixed-ended uniform parabolic arch are derived on the basis of the equilibrium equations and the D'Alembert principle. The effect of rotary inertia as well as extensional and flexural deformations is considered in the governing differential equations. A trial elgenvalue method is used for determining the natural frequencies. The Runge-Kutta method is used in this method to perform the integration of the differential equations. The detailed studies are made of the lowest three vibration frequencies for the span length equal to 10m. The effect of the rotary inertia is analyzed and it's numerical data are presented in table. And as the numerical results the frequency versus the rise of arch and the radius of gyration are presented in figures.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.10 no.3
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• pp.19-28
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• 1990

The main purpose of this paper is to present both fundamental and some higher natural frequencies of catenary arcs. The differential equations governing planar free vibrations for these arcs are derived, in which the rotatory inertia is included, as non-dimensional forms and solved numerically to obtain frequencies and mode shapes. The hinged-hinged and clamped-clamped end constraints are applied in numerical examples. The lowest four natural frequencies are reported as the functions of non -dimensional system parameters; the slenderness ratio and the rise to span length ratio. The effects of rotatory inertia on natural frequencies are reported and some typical mode shapes are also presented.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.14 no.10
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• pp.4733-4738
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• 2013

This paper proposes a method to obtain the dynamic equilibrium configuration of a constrained mechanical system by using multibody dynamic analysis. Dynamic equilibrium equations with independent coordinates are derived from the time-dependent constraint equations and dynamic equations of a multibody system. The Newton-Raphson method is used to find numerical solutions for nonlinear algebraic equations that are composed of the dynamic equilibrium and constraint equations. The proposed method is applied to obtain the dynamic equilibrium configuration of a speed governor, and the results are verified on the basis of the results from conventional dynamic analysis. Furthermore, vertical displacements at equilibrium configuration, which varied with the rotational velocity of the speed governor, are calculated, and design parameter analysis of the equilibrium configuration is presented.

• Proceedings of the Korean Fiber Society Conference
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• 2003.04a
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• pp.103-106
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• 2003

원형의 물체에 접해 있는 섬유 또는 실의 장력에 관하여 기존의 capstan equation의 잘못된 점을 보완하는 일반적인 capstan Equation을 유도하였다. 해석은 주로 섬유-물체의 접촉부위에 초점을 맞추었다. 그 결과 유도된 지배방정식은 2차 상미분 방정식의 형태를 갖는다. 지배방정식의 해를 구한 뒤, 접촉영역 전체에 작용하는 힘의 평형조건을 이용하여 입력 장력(incoming tension)과 출력 장력(outgoing tension)간의 관계식을 얻을 수 있었으며 우리는 이것을 True capstan equation이라 명하였다. (중략)

• KCID journal
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• v.1 no.2
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• pp.48-59
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• 1994

여러가지의 유사이동 공식들은 각 저자들의 실험실이나 현장실측치를 바탕으로 발표되었다. 그리고 저자에 따라서 본인들의 공식의 적용한계를 명백히 명시한 것도 있지만 그렇지 않은 것도 많다. 동일한 수리학적 조건에서 이 공식들이 현장에서 적용될 때 이 공식에 의한 유사량은 공식에 따라서 유사한 것도 있고 차이가 많이 나는 것도 있다. 특히 St. Venant식(물의 연속 방정식과 물의 운동량 방정식)과 유사 연속방정식을 연립하여 컴퓨터 모의시험에 이용할 때

• Journal of the Korean GEO-environmental Society
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• v.6 no.1
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• pp.73-82
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• 2005

Generally, to evaluate a slope stability of the geosynthetic reinforced soil slope, the modified version of limit equilibrium method can be used. In most cases, resisting effects of reinforcement are dealt with considering an increased shear strength on the potential slip surface. However, it is not clear that the methods satisfy all three equilibrium equations. In this study, the new slope stability analysis method in which not only reinforcing effects of geosynthetics can be considered but also all three equilibrium equation can be satisfied is proposed. A number of illustrative examples, including published load test of large-scale reinforced retaining wall and centrifuge model tests on the geotextile reinforced soil slopes, are also analyzed. As a result, it is shown that the newly suggested method produces a relatively accurate factor of safety.