• 한국소음진동공학회논문집
• /
• 제25권7호
• /
• pp.510-517
• /
• 2015

The free vibration and stability analysis of a spinning composite shaft modelled as a thin-walled closed beam is performed for several design parameters, such as ply angle, aspect ratio, and spin speed. The governing equations of spinning shafts based on the Timoshenko beam theory are derived via Hamilton's variational principle. Coriolis acceleration and anisotropy of constituent materials are incorporated in the derivation. The equations of motion are then transformed to the standard form of an eigenvalue problem for free vibration and stability analysis. Analytical results both for uniform circular cylindrical shaft and rectangular cross-section shaft are obtained by using extended Galerkin method, and the results are compared with those from FEM ANSYS analysis for a verification.

• Structural Engineering and Mechanics
• /
• 제87권6호
• /
• pp.541-554
• /
• 2023

An unbraced cantilever beam subjected to loads which cause bending about the major axis may buckle in a flexuraltorsional mode by deflecting laterally and twisting. For the efficient design of these structures, design engineers require a simple accurate equation for the elastic flexural-torsional buckling load. Existing solutions for the flexural-torsional buckling of cantilever beams have mainly been derived by numerical methods which are tedious to implement. In this research, an attempt is made to derive a theoretical equation by the energy method using different buckled shapes. However, the results of a finite element flexural-torsional buckling analysis reveal that the buckled shapes for the lateral deflection and twist rotation are different for cantilever beams. In particular, the buckled shape for the twist rotation also varies with the section size. In light of these findings, the finite element flexural-torsional buckling analysis was then used to derive simple accurate equations for the elastic buckling load and moment for cantilever beams subjected to end point load, uniformly distributed load and end moment. The results are compared with previous research and it was found that the equations derived in this study are accurate and simple to use.

• Steel and Composite Structures
• /
• 제23권4호
• /
• pp.453-464
• /
• 2017

The square tubed-reinforced concrete (TRC) column is a kind of special concrete-filled steel tube (CFST) columns, in which the outer thin-walled steel tube does not pass through the beam-column joint, so that the longitudinal steel reinforcing bars in the RC beam are continuous through the connection zone. However, there is a possible decrease of the axial bearing capacity at the TRC column to RC beam connection due to the discontinuity of the column tube, which is a concern to engineers. 24 connections and 7 square TRC columns were tested under axial compression. The primary parameters considered in the tests are: (1) connection location (corner, exterior and interior); (2) dimensions of RC beam cross section; (3) RC beam type (with or without horizontal haunches); (4) tube type (with or without stiffening ribs). The test results show that all specimens have relatively high load-carrying capacity and satisfactory ductility. With a proper design, the connections exhibit higher axial resistance and better ductility performance than the TRC column. The feasibility of this type of connections is verified.

• Structural Engineering and Mechanics
• /
• 제66권6호
• /
• pp.713-727
• /
• 2018

Thin-walled mental tubes under lateral crushing are desirable and reliable energy absorbers against impact or blast loads. However, the early formations of plastic hinges in the thin cylindrical wall limit the energy absorption performance. This study investigates the energy absorption performance of a simple, light and efficient energy absorber called the ring stiffened tube. Due to the increase of section modulus of tube wall and the restraining effect of the T-stiffener flange, key energy absorption parameters (peak crushing force, energy absorption and specific energy absorption) have been significantly improved against the empty tube. Its potential application in the offshore blast wall design has also been investigated. It is proposed to replace the blast wall endplates at the supports with the energy absorption devices that are made up of the ring stiffened tubes and springs. An analytical model based on beam vibration theory and virtual work theory, in which the boundary conditions at each support are simplified as a translational spring and a rotational spring, has been developed to evaluate the blast mitigation effect of the proposed design scheme. Finite element method has been applied to validate the analytical model. Comparisons of key design criterions such as panel deflection and energy absorption against the traditional design demonstrate the effectiveness of the proposed design in blast alleviation.

• Wind and Structures
• /
• 제15권3호
• /
• pp.189-208
• /
• 2012

Lock-in and drag amplification phenomena are studied for a flexible cantilever using a simplified fluid-structure interaction approach. Instead of solving the 3D domain, a simplified setup is devised, in which 2D flow problems are solved on a number of planes parallel to the wind direction and transversal to the structure. On such planes, the incompressible Navier-Stokes equations are solved to estimate the fluid action at different positions of the line-like structure. The fluid flow on each plane is coupled with the structural deformation at the corresponding position, affecting the dynamic behaviour of the system. An Arbitrary Lagrangian-Eulerian (ALE) approach is used to take in account the deformation of the domain, and a fractional-step scheme is used to solve the fluid field. The stabilization of incompressibility and convection is achieved through orthogonal quasi-static subscales, an approach that is believed to provide a first step towards turbulence modelling. In order to model the structural problem, a special one-dimensional element for thin walled cross-section beam is implemented. The standard second-order Bossak method is used for the time integration of the structural problem.

• Advances in aircraft and spacecraft science
• /
• 제3권1호
• /
• pp.1-14
• /
• 2016

The Carrera Unified Formulation (CUF) is here extended to perform free-vibrational analyses of rotating structures. CUF is a hierarchical formulation, which enables one to obtain refined structural theories by writing the unknown displacement variables using generic functions of the cross-section coordinates (x, z). In this work, Taylor-like expansions are used. The increase of the theory order leads to three-dimensional solutions while, the classical beam models can be obtained as particular cases of the linear theory. The Finite Element technique is used to solve the weak form of the three-dimensional differential equations of motion in terms of "fundamental nuclei", whose forms do not depend on the adopted approximation. Including both gyroscopic and stiffening contributions, structures rotating about either transversal or longitudinal axis can be considered. In particular, the dynamic characteristics of thin-walled cylinders and composite blades are investigated to predict the frequency variations with the rotational speed. The results reveal that the present one-dimensional approach combines a significant accuracy with a very low computational cost compared with 2D and 3D solutions. The advantages are especially evident when deformable and composite structures are analyzed.

• 대한조선학회논문집
• /
• 제29권4호
• /
• pp.152-172
• /
• 1992

대파고 파랑중을 항해하는 선박은 큰 선체 운동으로 인하여 수면하 단면 형상이 시시각각 크게 변하므로 자유 표면 조건, 물체 표면 조건의 비선형성에 의한 비선형 유체력의 영향이 무시될 수 없게 된다. 경우에 따라서는 선저가 파면으로부터 충격력을 받는 슬래밍 현상과 선수가 파도를 뒤집어 쓰는 청파 현상등과 같은 충격적 유체력이 선체에 가해지는 등 복잡한 문제가 발생하게 된다. 본 연구에서는 선체를 가변 단면보의 탄성체로 이상화하여 파랑중 선체 거동을 박육 단면보 이론에 의해 정식화하고 파랑 하중으로는 수면하 단면 형상 변화에 따른 비선형 유체력과 momentum slamming이론을 이용한 유체 충격력을 고려하여 대파고 파랑 중 탄성체인 선체의 응답을 추정하는 해석 기법을 개발하여 이를 기존의 실험결과와 비교 그 타당성을 확인하고, 이의 응용으로 본 기법에 의하여 4만톤급 정유 운반선에 적용하여 정면파 및 사파중에서 파고, 파장, 선속을 파라미터로 한 수치 계산을 수행하고 여러가지 파라미터 변화에 대한 선체 구조의 동적 강도 응답 특성을 계통적으로 분석하여 보았다. 본 연구에서 개발된 동적강도 해석법은 대파고 중에서 유체력의 비선형성 및 유체 충격력까지 고려한 해석기법이므로 신구조 방식 선박에 대한 직접 설계법의 확립 뿐만 아니라 슬래밍 등에 의한 선체 절손 사고의 원인 규명에도 유용하게 적용할 수 있을 것으로 사료된다.

• 대한토목학회논문집
• /
• 제11권4호
• /
• pp.45-54
• /
• 1991

선형변단면관형(線形變斷面管型) 단면(斷面) 부재(部材)의 3차원(次元) 공간(空間)에서의 고유진동해석(固有振動解析)을 위하여 회전관성(回轉慣性)도 포함하는 질량(質量) 행열(行列)을 유도하였다. 유도과정에서 정확한 변위함수(變位函數)를 사용했다. 일반적으로 많이 사용되는 변단면(變斷面) 부재(部材)의 경사(傾斜)는 매우 작으므로 '정형적분형(整形積分型)'으로 표현된 행열(行列)을 사용하여 변단면(變斷面) 부재(部材)를 포함하는 구조물을 해석할 때에 신빙성(信憑性)없는 결과를 얻게 된다. 이러한 수치적(數値的) 오류(誤謬)를 피하기 위하여 '급수형(級數型)'의 전개식(展開式)을 유도했다. 변단면(變斷面) 부재(部材)의 구조물(構造物)을 해석하기 위하여 본(本) 연구(硏究)에서 유도(誘導)된 질량(質量) 행열(行列)을 사용하여 구한 고유진동수(固有振動數)와 분할 부재(部材)를 균일단면(均一斷面) 탑형태(塔形態)로 표현하여 구한 고유진동수(固有振動數)를 비교(比較)하여 본 연구결과 효율성(效率性)과 정확성(正確性)이 증진(增進)된 것을 확인하였다.

• 대한토목학회논문집
• /
• 제14권5호
• /
• pp.1023-1031
• /
• 1994

선형변단면(線形變斷面) I-형(型) 부재(部材)의 3차원(次元) 공간(空間)에서의 고유진동해석(固有振動解析)을 위하여 회전관성(回轉慣性)도 포함하는 컨시스턴트 질량행렬(質量行列)을 유도하였다. 유도과정(誘導過程)에서 정확한 형상함수(形狀函數)를 사용했다. 일반적으로 많이 사용되는 변단면부재(變斷面部材)의 경사(傾斜)는 매우 작으므로 '정형식(整形式)'으로 표현된 행렬(行列)을 사용하여 변단면(變斷面) 부재(部材)를 포함하는 구조물(構造物)을 해석할 때에 신빙성 없는 결과를 얻게 된다. 이러한 수치적(數値的) 오류(誤謬)를 피하기 위하여 '급수식(級數式)'을 유도했다. 변단면(變斷面) 부재(部材)의 구조물(構造物)을 해석하기 위하여 본 연구에서 유도된 질량행렬(質量行列)을 사용하여 구한 고유진동수(固有振動數)와 변단면(變斷面) 부재(部材)를 균일단면(均一斷面)의 탑형태(塔形態)로 표현하여 ANSYS에서 구한 고유진동수(固有振動數)를 비교하여 본 연구 결과 효율성과 정확성이 증진된 것을 확인하였다. 본 연구에서 유도된 질량행렬(質量行列)은 변단면(變斷面) 부재(部材)와 균일단면(均一斷面) 부재(部材)의 자유진동해석(自由振動解析)에 사용할 수 있다.