• Multiscale and Multiphysics Mechanics
• /
• v.1 no.1
• /
• pp.15-33
• /
• 2016

In this paper, an asymptotic method is employed to formulate nano- or micro-beams based on strain gradient elasticity. Although a basic theory for the strain gradient elasticity has been well established in literature, a systematic approach is relatively rare because of its complexity and ambiguity of higher-order elasticity coefficients. In order to systematically identify the strain gradient effect, an asymptotic approach is adopted by introducing the small parameter which represents the beam geometric slenderness and/or the internal atomistic characteristic. The approach allows us to systematically split the two-dimensional strain gradient elasticity into the microscopic one-dimensional through-the-thickness analysis and the macroscopic one-dimensional beam analysis. The first-order beam problem turns out to be different from the classical elasticity in terms of the bending stiffness, which comes from the through-the-thickness strain gradient effect. This subsequently affects the second-order transverse shear stress in which the surface shear stress exists. It is demonstrated that a careful derivation of a first strain gradient elasticity embraces "Gurtin-Murdoch traction" as the surface effect of a one-dimensional Euler-Bernoulli-like beam model.

• Transactions of the Korean Society of Mechanical Engineers B
• /
• v.20 no.8
• /
• pp.2707-2720
• /
• 1996

The aerodynamic design of the two-stages of centrifugal compressors in an 1.2MW industrial gas turbine is completed with the application of numerical analyses. The final shape of an intake, the axial guide vanes and a return channel is determined using several interactions between design and two-dimensional turbulent flow analysis, focused on the minimum loss of internal flows. The one-dimensional turbulent flow analysis, focused on the minimum loss of internal flows. The one-dimensional design and prediction of aerodynamic performances for the compressors are performed by two different methods; one is a method with conventional loss models, and the other a method with the two-zone model. The combination methods of the Betzier curves generate three-dimensional geometric shapes of impeller blades which are to be checked with a careful change of aerodynamic blade loadings. The impeller design is finally completed by the applications of three-dimensional compressible turbulent flow solvers, and the effect of minor change of design of the second-stage channel diffuser is also studied. All the aerodynamic design results are soon to the verified by component performance tests of prototype centrifugal compressors.

• Journal of Korean Society for Quality Management
• /
• v.28 no.1
• /
• pp.57-77
• /
• 2000

A two-dimensional warranty policy, two types of warranty criteria, such as the age and mileage of an automobile, are employed simultaneously to determine the eligibility of a warranty claim. We deal with the analysis of a variety of combined two-dimensional free replacement warranty(FRW) and pro-rata replacement warranty(PRW). In this paper we also propose the analysis of policies with item failures modelled using the one-dimensional and two-dimensional approach, respectively. We obtain expressions for the expected warranty costs and illustrate through numerical examples.

• Proceedings of the KSME Conference
• /
• 2001.06e
• /
• pp.136-141
• /
• 2001

In this study, we analysed tree surface flow by using the experimental and numerical method with a different surfactant concentration. We compared numerical solution with experimental results for one-dimensional model. The result shows that in general the tree surface velocity can well be reproduced by the one-dimensional model for various surfactant concentration.

• Journal of Industrial Technology
• /
• v.13
• /
• pp.81-87
• /
• 1993

Two dimensional analysis on the triangular fin for both the insulated fin tip and non-insulated fin tip and one dimensional analysis on that when the temperature of the fin tip is finite are made. The effect of the fin tip is shown by comparing the heat loss from the fin and the temperature along the fin length varing the non-dimensional fin length and Biot number for each three cases. The results are following. When the non-dimensional fin length is very short, the relative error of the heat loss from the fin with insulated fin tip to that from the fin with non-insulated fin tip is very high. The value of the temperature variation along the non-dimensional fin length is minimum for the finite fin tip temperature using one dimensional analysis and is maximum for the insulated fin tip using two dimensional anaysis.

• 한국기계연구소 소보
• /
• s.14
• /
• pp.111-119
• /
• 1985

A review on the design analysis of an axial-flow turbine is presented. Followed by a brief introduction to the fundamentals on an axial-flow turbine, a design procedure is described with a sample design of one for a small turbo-jet engine. Design procedure is composed of two parts: one-dimensional analysis of three-dimensional effects based on radial equilibrium theory. The method described herein is so simple and rapid that it can be applied to the preliminary design analysis of turbo-machinery equipped with axial-flow turbines.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
• /
• 1996.04a
• /
• pp.328-334
• /
• 1996

Finite Element Method(FEM) is the most popularly used method in analyzing the dynamic behaviors of structures. But unless the number of finite elements is large enough, the results from FEM are somewhat different from exact analytical solutions, especially at high frequency range. On the other hand, as the Spectral Element Method(SEM) deals directly with the governing equations of structures, the results from this method cannot but be exact regardless of any frequency range. However, despite two dimensional structures are more general, the SEM has been applied only to the analysis of one dimensional structures so far. In this paper, therefore, new methodologies are introduced to analyze the two dimensional plate using SEM. The results from this new method are compared with the exact analytical solutions by letting the two dimensional plate be one dimensional one and showed the dynamic responses of two dimensional plate by including various waves propagated into x-direction.

• Journal of KSNVE
• /
• v.6 no.5
• /
• pp.617-624
• /
• 1996

Finite Element Method(FEM) is one of the most popularly used method in analyzing the dynamic behaviors of structures. But unless the number of finite elements is large enough, the results from FEM are somewhat different form exact analytical solutions, especially at high frequency range. On the other hand, as the Spectral Element Method(SEM) deals directly with the governing equations of structures, the results from this method cannot but be exact regardless of any frequency range. However, despite two dimensional structures are more general, the SEM has been applied only to the analysis of one dimensional structures so far. In this paper, therefore, new methodologies are introduced to analyze the two dimensional plate structure using SEM. The results from this new method are compared with the exact analytical solutions by letting the two dimensional plate structure be one dimensional and showed the dynamic responses of two dimensional plate by including various waves propagated into x-direction.

• Proceedings of the Korean Nuclear Society Conference
• /
• 1995.10a
• /
• pp.364-370
• /
• 1995

The One-dimensional fin model is used to analyze the angular wall temperature variation of long horizontal lines, where stratification could result in top-to-bottom differences in wall temperatures. The top and bottom sections are treated separately and coupled by boundary conditions. The thermal stratification analysis is focused on the effects of the heat transfer rates at the pipe surface. The results show that the heat transfer rate at the pipe surface is the controlling parameter which reduce significantly the temperature difference in pipe circumferential direction. The one-dimensional fin modelling analysis results are verified by comparison with the operating PWR test data. The circumferential temperatures of pipe calculated by one-dimensional fin modelling agree well with the PWR plant test data.

• Proceedings of the KSME Conference
• /
• 2003.11a
• /
• pp.1852-1857
• /
• 2003

This study is concerned about the development of three-dimensional bending machine for heat exchanger. Recently, three-dimensional bending is required for various heat exchanger. The purpose of this study is design of three-dimensional bending machine by analysis of bending process and structural analysis simulation. The analysis is carried out by FEM simulation using DEFORM and CATIA V5 software. The copper-tube is modeled by shell elements and the machine is modeled by placing proper shell and solid finite elements and fictitious mass properties to represent the real one. The final results of analysis are applied to the design of three-dimensional bending machine and the machine is successfully developed.