• 한국정보통신학회논문지
• /
• 제26권11호
• /
• pp.1586-1591
• /
• 2022

Kirchhoff-Love 판 (KLP) 방정식은 특정 외력이 얇은 막에 끼치는 변형을 기술하는 잘 알려진 이론이다. 한편, frequency 도메인에서 진동하는 판을 해석하는 것은 주요 진동 주파수와 고유함수들을 구하는 것과 판의 진동을 예측하는데 중요하다. 다양한 모드 분석 방법들 중 dynamic mode decomposition (DMD)는 효율적인 data 기반 방법이다. 이 논문에서 우리는 DMD를 기반으로 sine 유형 외력의 영향력 안에 있는 KLP의 모드 분석을 수행한다. 우리는 먼저 유한차분법을 사용하여 이산적으로 표현된 시계열 형식의 KLP 해를 구한다. 720,00개의 FDM으로 생성된 해중에서, 오직 500개의 해만을 DMD의 구현을 위해 선택한다. 우리는 결과적으로 얻어진 DMD-mode를 보고한다. 또한, DMD를 통하여 KLP의 해를 예측하는 효율적인 방법을 소개한다.

• 한국기계가공학회지
• /
• 제20권8호
• /
• pp.11-17
• /
• 2021

This paper describes the time rate of change of dynamic response of a cantilever beam inserted with a damping element, such as bonding, which is excited under a general force at various locations. A sensitivity analysis was performed in a finite element model to show that two types of second-order algebraic governing equations were used to predict the rate of change of dynamic displacement: one is related to the modal coordinate linked to a physical coordinate, and the other to the design parameter of the time rate of change of displacement. The sensitivity differential equation formulation includes more complicated terms compared with that of the undamped cantilever beam. The sensitivities of the dynamic response were observed by changing the location of the excitation force, displacement extraction, and cross-sectional area of the beam. The analytical results obtained by this suggested theory showed a relatively good agreement when compared with those obtained using the commercial finite element program. The suggested analysis procedure enables the prediction of the response sensitivity for any finite element model of the dynamic system.

• Structural Engineering and Mechanics
• /
• 제57권6호
• /
• pp.989-1014
• /
• 2016

This paper deals with the analysis of the natural frequencies, mode shapes of an axially loaded beam system carrying ends consisting of non-concentrated tip masses and three spring-two mass sub-systems. The influence of system design and sub-system parameters on the combined system characteristics is the major part of this investigation. The effect of material properties, rotary inertia and shear deformation of the beam system is included. The end masses are elastically supported against rotation and translation at an offset point from the point of attachment. Sub-systems are attached to center of gravity eccentric points out of the beam span. The boundary conditions of the ordinary differential equation governing the lateral deflections and slope due to bending of the beam system including developed shear force frequency dependent terms, due to the sub.system suspension, have been formulated. Exact formulae for the modal frequencies and the modal shapes have been derived. Based on these formulae, detailed parametric studies are carried out. The geometrical and mechanical parameters of the system under study have been presented in non-dimensional analysis. The applied mathematical model is presented to cover wide range of mechanical, naval and structural engineering applications.

• 대한토목학회논문집
• /
• 제8권2호
• /
• pp.185-196
• /
• 1988

랜덤풍하중을 받는 현수교의 비선형 동적거동 해석방법에 대해 연구하였다. 본 연구에서는 형의 거동과 주(主) 케이블 장력변화간의 상호작용에 기인하는 기하학적 비선형성을 고려하였다. 운동방정식은 연속계로 수식화하였고, 이때 수직 및 비틀림 운동의 상관관계를 포함시켰다. 동적해석은 모우드 중첩법을 사용하였으며, 이때의 모우드 방정식에 추계론적 선형화방법을 적용하여 주파수영역해석을 수행하였다. 선형화과정에서는, 풍속의 평균 및 변동성분의 영향을 함께 고려하기 위하여 비선형항을 선형항과 상수항의 합으로써 근사화하였다. 이 선형화방법에 대한 검증은 4자유도의 모우드 방정식에 대해 수행하였으며, 본 연구의 방법에 의한 결과가 타당함을 보였다. 예제해석은 두 개의 현수교를 택하여 여러 가지 풍속조건 및 공기역학적 하중계수에 대해 수행하였다. 수치해석 결과, 비선형항을 포함시켰을때 교량의 동적 거동은, 수직 거동의 경우 특히 크게 변화함을 알 수 있었다.

• 한국소음진동공학회:학술대회논문집
• /
• 한국소음진동공학회 2005년도 춘계학술대회논문집
• /
• pp.684-691
• /
• 2005

본 연구는 전달함수 합성법을 이용하여 보강후 구조물의 진동특성을 예측하는 방법이다. 이 방법은 보강후 구조물의 진동특성을 보강전 구조물의 전달함수를 이용하여 예측하는 기술로, 이에 관한 이론은 많이 알려져 있다. 하지만 실제 실험으로 전달함수를 계측할 경우 회전자유도에 대한 전달함수를 계측하기가 어렵다. 따라서 병진자 유도만으로 전달함수 합성법을 적용할 경우 발생하는 고유진동수 추정 오차를, 전체 자유도를 이용한 경우와 간단한 구조물의 수치해석을 통해서 비교해 보고자 한다.

• 대한조선학회 특별논문집
• /
• 대한조선학회 2006년도 특별논문집
• /
• pp.53-58
• /
• 2006

When the vibration troubles occur on the ship structure during the sea trial, the rectification work is very restricted because of in-situ limitation. Usually the finite element method is used to improve vibration characteristics of the structure, but it takes lots of time and effort in modeling the structure and adjusting the finite element model in order to consider appropriate boundary conditions of a complex ship structure. Therefore, experimental methods have been in general suggested to obtain proper countermeasures without time-consuming in modeling. In this paper, FRF(frequency response function) synthesis method is applied to estimate natural frequency of the modified ship structure, which is obtained from experimental and numerical methods.

• 한국소음진동공학회논문집
• /
• 제18권7호
• /
• pp.718-724
• /
• 2008

A flexible structure submerged in acoustic fluid is affected by its surrounding fluid. In this case, the coupling effects between structures and surrounding fluid have an effect on the submerged structure as external force and change impedance of acoustic domain. Therefore, the coupling effects by its surrounding fluid complicatedly change the characteristics of a submerged structure such as natural frequencies and damping coefficients. In this paper, using the analytic modal equation of a spherical shell surrounded by water and air, the complex changes of damping coefficients and natural frequencies of submerged structures are studied for various external acoustic fluid and structures.

• 한국소음진동공학회:학술대회논문집
• /
• 한국소음진동공학회 2006년도 춘계학술대회논문집
• /
• pp.176-180
• /
• 2006

When the vibration troubles occur on the ship structure during the sea trial, the rectification work is very restricted because of in-situ limitation. Usually, the finite element method is used to improve vibration characteristics of the structure, but it takes lots of time and effort in modeling the structure and adjusting the finite element model in order to consider appropriate boundary conditions of a complex ship structure. Therefore, experimental methods have been in general suggested to obtain proper countermeasures without time-consuming in modeling. In this paper, FRE(frequency response function) synthesis method is applied to estimate natural frequency of the modified ship structure, which is obtained from experimental and numerical methods.

• Structural Engineering and Mechanics
• /
• 제39권2호
• /
• pp.223-239
• /
• 2011

This paper presents a methodology to detect and locate damages and faults in orthotropic plate structures. A specific damage index based on dynamic mode shapes of the damaged and undamaged structures has been introduced. The governing differential equation on transverse deformation, the transverse shear force equations and the invariant expression for the sum of transverse loading of an orthotropic plate are employed to obtain the aforementioned damage indices. The validity of the proposed methodology for isotropic and orthotropic damage states is demonstrated using a numerical example. It is shown that the algorithm is able to detect damages for both isotropic and orthotropic damage states acceptably.

• Structural Engineering and Mechanics
• /
• 제65권5호
• /
• pp.523-533
• /
• 2018

In this study, the dynamic response of a functionally graded material (FGM) circular plate in contact with incompressible fluid under the harmonic load is investigated. Analysis of the plate is based on First-order Shear Deformation Plate Theory (FSDT). The governing equation of the oscillatory behavior of the fluid is obtained by solving Laplace equation and satisfying its boundary conditions. A new set of admissible functions, which satisfy both geometrical and natural boundary conditions, are developed for the free vibration analysis of moderately thick circular plate. The Chebyshev-Ritz Method is employed together with this set of admissible functions to determine the vibrational behaviors. The modal superposition approach is used to determine the dynamic response of the plate exposed to harmonic loading. Numerical results of the force vibrations and the effects of the different geometrical parameters on the dynamic response of the plate are investigated. Finally, the results of this research in the limit case are compared and validated with the results of other researches and finite element model (FEM).