• Title/Summary/Keyword: Transfer matrix

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Realization of acoustic scattering holography (산란 음향 홀로그래피의 구현 방법론)

  • 이상협;김양한
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.640-644
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    • 2003
  • There are many difficulties to get the scattered field generated by obstacle which has arbitrary shape or irregular surface impedance by using analytic solution or numerical methods. In this study, we propose experimental method of acoustic scattering holography that can predict the far-field scattered field based on nearfield measurements. In particular we can get the scattered fields of each wave-number components of incident fields. We express the relationship of wave-number components between incident fields and scattered fields using scattering matrix which is transfer matrix of wave-number components. Lastly, we prove the relation between wave-number components of incident and scattered field by experiments. The errors which are caused by measurements and decomposition methods are also analyzed.

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The Technology Valuation Model for Technology of Management (기술경영을 위한 기술가치 평가모형)

  • Hong, Du-Wha;Park, Hae-Keun
    • Journal of the Korea Safety Management & Science
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    • v.8 no.4
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    • pp.63-89
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    • 2006
  • Recently, the technology is getting to be the most important factor for companies, as the industry is changing fast. The uncertainty and complexity of technology valuation arc higher so that the technology concentrated companies need more developed and high performance technology. This paper reviews the methods of technology valuation for five categories that have been developed by valuation researchers, (1) research of technology diffusion and acceptance model, (2) research of technology valuation, (3) research of technology import and export factor, (4) research of technology valuation model, (5) research of technology transfer and market. And we propose a new technology valuation model using need(market), seed(technology) and deeds(management) factor by cross impact matrix. This model gives us the reference negotiation range for deciding the amount of royalty. I hope this paper induces more research on this field of technology valuation.

Vibration Analysis of a Helical Spring under the pre-load (예하중을 받는 헬리컬 스프링의 진동 해석)

  • Lee, Jae-Hyung;Heo, Seung-Jin
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.355-360
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    • 2001
  • By using Frenet formulation and Timoshenko beam theory, the partial differential equations of motion are derived for a helical spring having a doubly symmetrical cross section subjected to the pre-load axially. These equations of motion are solved to give the dispersion relationship and dynamic stiffness matrix is assembled. Natural frequencies are obtained from the receptance of the system. The results of the dynamic stiffness method are compared with those of the transfer matrix method from published examples and finite element method.

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Neighboring Optimal Control using Pseudospectral Legendre Method (Pseudospectral Legendre법을 이용한 근접 최적 제어)

  • 이대우;조겸래
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.7
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    • pp.76-82
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    • 2004
  • The solutions of neighboring optimal control are typically obtained using the sweep method or transition matrices. Due to the numerical integration, however, the gain matrix can become infinite as time go to final one in the transition matrices, and the Riccati solution can become infinite when the final time free. To overcome these disadvantages, this paper proposes the pseudospectral Legendre method which is to first discreteize the linear boundary value problem using the global orthogonal polynomial, then transforms into an algebraic equations. Because this method is not necessary to take any integration of transition matrix or Riccati equation, it can be usefully used in real-time operation. Finally, its performance is verified by the numerical example for the space vehicle's orbit transfer.

Dynamic analysis of a cable-stayed bridge using continuous formulation of 1-D linear member

  • Yu, Chih-Peng;Cheng, Chia-Chi
    • Earthquakes and Structures
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    • v.3 no.3_4
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    • pp.271-295
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    • 2012
  • This paper presents the solution scheme of using the continuous formulation of 1-D linear member for the dynamic analysis of structures consisting of axially loaded members. The context describes specific applications of such scheme to the verification of experimental data obtained from field test of bridges carried out by a microwave interferometer system and velocimeters. Attention is focused on analysis outlines that may be applicable to in-situ assessment for cable-stayed bridges. The derivation of the dynamic stiffness matrix of a prismatic member with distributed properties is briefly reviewed. A back calculation formula using frequencies of two arbitrary modes of vibration is next proposed to compute the tension force in cables. Derivation of the proposed formula is based on the formulation of an axially loaded flexural member. The applications of the formulation and the proposed formula are illustrated with a series of realistic examples.

Response of angle-ply laminated cylindrical shells with surface-bonded piezoelectric layers

  • Wang, Haojie;Yan, Wei;Li, Chunyang
    • Structural Engineering and Mechanics
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    • v.76 no.5
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    • pp.599-611
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    • 2020
  • A state-space method is developed to investigate the time-dependent behaviors of an angle-ply cylindrical shell in cylindrical bending with surface-bonded piezoelectric layers. Both the interfacial diffusion and sliding are considered to describe the properties of the imperfect interfaces. Particularly, a matrix reduction technique is adopted to establish the transfer relations between the elastic and piezoelectric layers of the laminated shell. Very different from our previous paper, in which an approximate numerical technique, i.e. power series expansion method, is used to deal with the time-dependent problems, the exact solutions are derived in the present analysis based on the piezoelasticity equations without any assumptions. Numerical results are finally obtained and the effects of imperfect interfaces on the electro-mechanical responses of the laminated shell are discussed.

CRYPTOGRAPHIC ALGORITHM INVOLVING THE MATRIX Qp*

  • Kannan, J.;Mahalakshmi, M.;Deepshika, A.
    • Korean Journal of Mathematics
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    • v.30 no.3
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    • pp.533-538
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    • 2022
  • Cryptography is one of the most essential developing areas, which deals with the secure transfer of messages. In recent days, there are more number of algorithms have been evolved to provide better security. This work is also such an attempt. In this paper, an algorithm is presented for encryption and decryption which employs the matrix Qp* and the well- known equation x2 - py2 = 1 where p is a prime.

Free vibration analysis of cracked Timoshenko beams carrying spring-mass systems

  • Tan, Guojin;Shan, Jinghui;Wu, Chunli;Wang, Wensheng
    • Structural Engineering and Mechanics
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    • v.63 no.4
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    • pp.551-565
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    • 2017
  • In this paper, an analytical approach is proposed for determining vibration characteristics of cracked non-uniform continuous Timoshenko beam carrying an arbitrary number of spring-mass systems. This method is based on the Timoshenko beam theory, transfer matrix method and numerical assembly method to obtain natural frequencies and mode shapes. Firstly, the beam is considered to be divided into several segments by spring-mass systems and support points, and four undetermined coefficients of vibration modal function are contained in each sub-segment. The undetermined coefficient matrices at spring-mass systems and pinned supports are obtained by using equilibrium and continuity conditions. Then, the overall matrix of undetermined coefficients for the whole vibration system is obtained by the numerical assembly technique. The natural frequencies and mode shapes of a cracked non-uniform continuous Timoshenko beam carrying an arbitrary number of spring-mass systems are obtained from the overall matrix combined with half-interval method and Runge-Kutta method. Finally, two numerical examples are used to verify the validity and reliability of this method, and the effects of cracks on the transverse vibration mode shapes and the rotational mode shapes are compared. The influences of the crack location, depth, position of spring-mass system and other parameters on natural frequencies of non-uniform continuous Timoshenko beam are discussed.

A theoretical study on Ti:LiNbO3 integrated optical polarization mode controllers (Ti:LiNbO3 집적광학형 편광모드 조절기의 이론적 고찰)

  • 문제영;정홍식;이한영
    • Korean Journal of Optics and Photonics
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    • v.15 no.2
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    • pp.142-148
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    • 2004
  • We investigated a Ti:LiNbO$_3$ based integrated-optic polarization controller with a Ti-indiffused waveguide along the z-axis utilizing the electro-optic effect. The device consists of a first quarter-wave (λ/4) phase-shifter followed by a half-wave(λ/2) and a second quarter-wave(λ/4) wave-plate, which is rotated synchronously with the first quarter-wave phase-shifter. We analyzed the operation principles of the device utilizing cascaded transfer matrices based on Jones matrix and Poincare sphere, simulated driving voltages for various input states of polarization (SOP), and theoretically confirmed transformations from any arbitrary input SOP into any general output SOP.

Preparation and Characterization of Poly(amide imide)-based Carbon Nanofibers/Epoxy Nanocomposites

  • Seo, Min-Kang;Choi, Kyeong-Eun;Park, Sang-Hee;Hong, Young-Taik;Park, Soo-Jin
    • Carbon letters
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    • v.10 no.4
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    • pp.329-334
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    • 2009
  • In this work, the effect of carbon nanofibers (CNFs) addition on physicochemical characteristics of CNFs-reinforced epoxy matrix nanocomposites was studied. Poly(amide imide) solutions in dimethylformamide were electrospun into webs consisting of $250{\pm}50$ nm fibers which were used to produce CNFs through stabilization and carbonization processes. As a result, the CNFs with average diameter of $200{\pm}20$ nm were obtained after carbonization process. The nanocomposites with CNFs showed an improvement of thermal stability parameters and fracture toughness factors, compared to those of the specimen without CNFs, which could be probably attributed to the higher specific surface area and larger aspect ratio of CNFs, resulting in improving the mechanical interlocking in the nanocomposites. Also, the applied external loading can effectively transfer to CNFs because strong interactions are resulted between the epoxy matrix and the CNFs.