• Title/Summary/Keyword: eigenfunction expansion method

Search Result 110, Processing Time 0.022 seconds

Analytic solution of Timoshenko beam excited by real seismic support motions

  • Kim, Yong-Woo
    • Structural Engineering and Mechanics
    • /
    • v.62 no.2
    • /
    • pp.247-258
    • /
    • 2017
  • Beam-like structures such as bridge, high building and tower, pipes, flexible connecting rods and some robotic manipulators are often excited by support motions. These structures are important in machines and structures. So, this study proposes an analytic method to accurately predict the dynamic behaviors of the structures during support motions or an earthquake. Using Timoshenko beam theory which is valid even for non-slender beams and for high-frequency responses, the analytic responses of fixed-fixed beams subjected to a real seismic motions at supports are illustrated to show the principled approach to the proposed method. The responses of a slender beam obtained by using Timoshenko beam theory are compared with the solutions based on Euler-Bernoulli beam theory to validate the correctness of the proposed method. The dynamic analysis for the fixed-fixed beam subjected to support motions gives useful information to develop an understanding of the structural behavior of the beam. The bending moment and the shear force of a slender beam are governed by dynamic components while those of a stocky beam are governed by static components. Especially, the maximal magnitudes of the bending moment and the shear force of the thick beam are proportional to the difference of support displacements and they are influenced by the seismic wave velocity.

Computation of Wave Propagation over Multi-Step Topography by Partition Matrix Method (분할행렬법에 의한 다중 계단지형에서의 파랑변형 계산)

  • Seo, Seung-Nam
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.29 no.4B
    • /
    • pp.377-384
    • /
    • 2009
  • In order to reduce computing time significantly for a large matrix in EFEM of linear waves propagation over ripple beds, each of which is approximated to a multi-step topography, a partition method is presented to calculate reflection coefficients. By use of 10 evanescent modes in the model, the most accurate numerical solutions have been obtained up to date, which show different behaviors of computed reflection coefficient in some cases against the existing results. Both computing time and memory of the present partition model for solving a large matrix are still so much demanding that it is needed to develop an efficient method.

Block and Extraction of Wave Energy Using a Rolling Porous Pendulum Plate (횡 방향으로 운동하는 투과성 진자판을 이용한 파랑에너지 차단과 추출)

  • Cho, Il-Hyoung
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.30 no.4
    • /
    • pp.180-190
    • /
    • 2018
  • The preliminary study was carried out to utilize the rolling porous pendulum plate as a hybrid system combining blocking and extracting of wave energy. The Galerkin method suggested by Porter and Evans (1995) was used to solve the diffraction and radiation problems to obtain reflection and transmission coefficient, roll displacement, extracted power. The Galerkin method provides better convergence than the matched eigenfunction expansion method (MEEM), which improves the accuracy of the analytical solution even if the CPU time is shorter. The porous plate can not be said to be more effective than the impermeable plate in terms of wave energy extraction and wave blocking, but it has the advantage of reducing the wave load and exchanging seawater.

A low computational cost method for vibration analysis of rectangular plates subjected to moving sprung masses

  • Nikkhoo, Ali;Asili, Soheil;Sadigh, Shabnam;Hajirasouliha, Iman;Karegar, Hossein
    • Advances in Computational Design
    • /
    • v.4 no.3
    • /
    • pp.307-326
    • /
    • 2019
  • A low computational cost semi-analytical method is developed, based on eigenfunction expansion, to study the vibration of rectangular plates subjected to a series of moving sprung masses, representing a bridge deck under multiple vehicle or train moving loads. The dynamic effects of the suspension system are taken into account by using flexible connections between the moving masses and the base structure. The accuracy of the proposed method in predicting the dynamic response of a rectangular plate subjected to a series of moving sprung masses is demonstrated compared to the conventional rigid moving mass models. It is shown that the proposed method can considerably improve the computational efficiency of the conventional methods by eliminating a large number of time-varying components in the coupled Ordinary Differential Equations (ODEs) matrices. The dynamic behaviour of the system is then investigated by performing a comprehensive parametric study on the Dynamic Amplification Factor (DAF) of the moving loads using different design parameters. The results indicate that ignoring the flexibility of the suspension system in both moving force and moving mass models may lead to substantially underestimated DAF predictions and therefore unsafe design solutions. This highlights the significance of taking into account the stiffness of the suspension system for accurate estimation of the plate maximum dynamic response in practical applications.

Water wave reflection over shear currents and dredged multi-arrayed trenches (외부 흐름과 준설된 다열 함몰지형에 의한 파랑의 반사)

  • Cho, Yong-Sik;Lee, Kwang-Jun;Lee, Jun-Whan
    • Journal of Korea Water Resources Association
    • /
    • v.53 no.10
    • /
    • pp.871-876
    • /
    • 2020
  • Understanding the wave characteristics near the outlet of coastal power plants for cooling water in the vicinity of the dredged areas is critically important for the construction and operation of the plants. By Employing the eigenfunction expansion method, in this study, we analyzed the reflection of monochromatic water waves over (1) shear currents near the outlet and (2) multi-arrayed trenches representing dredged areas. We firstly optimized the number of grids expressing shear currents and the number of evanescent modes based on a convergence test. We then analyzed the sensitivity of the reflection coefficients depending on (1) magnitude of shear currents, (2) width of shear currents, (3) a distance between adjacent trenches, and (4) a number of trenches. The results showed that the reflection coefficient was more sensitive to the number of trenches and the distance between trenches than the velocity of shear currents and the width of shear currents. We also found that even the effect of shear currents is relatively small, the effect is not negligible in a relative water depth from shallow to near shallow water waves (0.01 < kh ≦ 0.70).

Wave Control by an Array of Porous Dual Cylindrical Structures (투과성 이중 원통구조물 배열에 의한 파랑제어)

  • CHO IL-HYOUNG
    • Journal of Ocean Engineering and Technology
    • /
    • v.18 no.5
    • /
    • pp.7-14
    • /
    • 2004
  • The interaction of incident manochromatic waves with an array of N surface-piercing porous dual cylindrical structures is investigated in the frame of three-dimensional linear potential theory. The dual cylindrical structure is camposed of concentric two cylinders. The exterior cylinder is porous and the interior cylinder is impermeable. The fluid domain is divided into N+1 regions i.e. a single exterior region and N interior regions. The diffraction potentials in each region representing the scattering of incident waves by an array of porous cylindrical structures are expressed by the Fourier Bessel series. The unknown coefficients in each region are determined by applying the porous boundary condition and continuity of mass flux at the matching boundary. It is found that an array of porous cylindrical structures reduces both the wave forces and the wave run-up, and shows the excellent performance of wave blocking. The results show that various types of breakwater exchanging seawater are prospective by controlling the porosity and the configuration of cylindrical structures.

Model-Based Prediction of Pulsed Eddy Current Testing Signals from Stratified Conductive Structures

  • Zhang, Jian-Hai;Song, Sung-Jin;Kim, Woong-Ji;Kim, Hak-Joon;Chung, Jong-Duk
    • Journal of the Korean Society for Nondestructive Testing
    • /
    • v.31 no.6
    • /
    • pp.609-615
    • /
    • 2011
  • Excitation and propagation of electromagnetic field of a cylindrical coil above an arbitrary number of conductive plates for pulsed eddy current testing(PECT) are very complex problems due to their complicated physical properties. In this paper, analytical modeling of PECT is established by Fourier series based on truncated region eigenfunction expansion(TREE) method for a single air-cored coil above stratified conductive structures(SCS) to investigate their integrity. From the presented expression of PECT, the coil impedance due to SCS is calculated based on analytical approach using the generalized reflection coefficient in series form. Then the multilayered structures manufactured by non-ferromagnetic (STS301L) and ferromagnetic materials (SS400) are investigated by the developed PECT model. Good prediction of analytical model of PECT not only contributes to the development of an efficient solver but also can be applied to optimize the conditions of experimental setup in PECT.

Transmission Characteristics on Swelling Tolerances of Rectangular Waveguides for Q-Band (Q-Band용 도파관의 내부 돌기가 전송 특성에 미치는 영향)

  • Park, Kyung-Sik;Cho, Byung-Ho;Kim, Ki-Chai;Kang, Jin-Seob;Kim, Jeong-Hwan
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.25 no.1
    • /
    • pp.108-113
    • /
    • 2014
  • This paper presents the influence on the transmission characteristics of swelling in rectangular waveguides for Q-band. We derived the Green's functions of the waveguide with eigenfunction expansion method. The reflection coefficient of the waveguide with a swelling is calculated by using internal impedance in order to investigate the influence of swelling in the waveguide. In order to check the validity of the theoretical analysis, the calculated reflection coefficients are compared with the measured results.

Transmission Characteristics on Dimensional Tolerances of Millimeter-Wave Rectangular Waveguides (밀리미터파용 구형 도파관의 단면 치수 변화에 의한 전송 특성)

  • Park, Kyung-Sik;Kim, Ki-Chai;Kang, Jin-Seob;Kim, Jeong-Hwan
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.24 no.7
    • /
    • pp.722-729
    • /
    • 2013
  • This paper presents the influence on the transmission characteristics of dimensional tolerances of rectangular waveguides usually used as a low-loss transmission line in the millimeter-wave band. We derived the Green's functions of the waveguide with eigenfunction expansion method. The reflection coefficient of the waveguide with a post is calculated by using internal impedance in order to investigate the influence of dimensional tolerances of the waveguide. In order to check the validity of the theoretical analysis, the calculated reflection coefficients are compared with the measured results.

Development of an Acoustic-Based Underwater Image Transmission System

  • Choi, Young-Cheol;Lim, Yong-Kon;Park, Jong-Won;Kim, Sea-Monn;Kim, Seung-Geun;Kim, Sang-Tae
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
    • /
    • 2003.05a
    • /
    • pp.109-114
    • /
    • 2003
  • Wireless communication systems are inevitable for efficient underwater activities. Because of the poor propagation characteristics of light and electromagnetic waves, acoustic waves are generally used for the underwater wireless communication. Although there are many kinds of information type, visual images take an essential role especially for search and identification activities. For this reason, we developed an acoustic-based underwater image transmission system under a dual use technology project supported by MOCIE (Ministry of Commerce, Industry and Energy). For the application to complicated and time-varying underwater environments all-digital transmitter and receiver systems are investigated. Array acoustic transducers are used at the receiver, which have the center frequency of 32kHz and the bandwidth of 4kHz. To improve transmission speed and quality, various algorithms and systems are used. The system design techniques will be discussed in detail including image compression/ decompression system, adaptive beam- forming, fast RLS adaptive equalizer, ${\partial}/4$ QPSK (Quadrilateral Phase Shift Keying) modulator/demodulator, and convolution coding/ Viterbi. Decoding.

  • PDF