• Title/Summary/Keyword: Coupling Matrix

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Derivation of Exact Dynamic Stiffness Matrix for Non-Symmetric Thin-walled Straight Beams (비대칭 박벽보에 대한 엄밀한 동적 강도행렬의 유도)

  • 김문영;윤희택
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.369-376
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    • 2000
  • For the general loading condition and boundary condition, it is very difficult to obtain closed-form solutions for buckling loads and natural frequencies of thin-walled structures because its behaviour is very complex due to the coupling effect of bending and torsional behaviour. Consequently most of previous finite element formulations introduced approximate displacement fields using shape functions as Hermitian polynomials, isoparametric interpoation function, and so on. The purpose of this study is to calculate the exact displacement field of a thin-walled straight beam element with the non-symmetric cross section and present a consistent derivation of the exact dynamic stiffness matrix. An exact dynamic element stiffness matrix is established from Vlasov's coupled differential equations for a uniform beam element of non-symmetric thin-walled cross section. This numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. The natural frequencies are evaluated for the non-symmetric thin-walled straight beam structure, and the results are compared with available solutions in order to verify validity and accuracy of the proposed procedures.

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Axiomatic Approach for desing Appraisement and Development DVD (II) (DVD 설계평가 및 개선을 위한 공리적 접근 (II))

  • Moon, Yong-Rak;Cha, Sung-Woon;Heo, Bo-Seog
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.9
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    • pp.82-88
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    • 1999
  • In order to execute the major role as the high density large capacity data storage device, which is one of the major characteristics of DVD(Digital Versatile Disk), there must be a method to effectively absorb the external impact or internal vibration. The DVD which has been developed until now tries to control two different types of vibrations, using only one absorber. But this goes against the independence Axiom of Axiomatic Approach which makes the design to be coupled. And in fat most of the malfunctions occurring during DVD data input/output is due to impact or vibration. Therefore in this paper, the vibration absorption system and operation reliability of DVD will be evaluated with the Axiomatic Approach and plans and feasibility to design an improved vibration absorption system will be provided also based on the Axiomatic Approach.

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A Study on Miniaturization and Design Flexibility of an Elliptic-Response Open-Loop Resonator Filter (타원응답 개방 루프 공진기 필터의 소형화 및 설계 유연성에 관한 연구)

  • 안창수;김영식
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.11
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    • pp.1082-1089
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    • 2004
  • In this paper, miniaturization of an elliptic-response open-loop resonator filter and design flexibility using similarity transformation of the coupling matrix are proposed. Moreover, the filter with wider fractional bandwidth is designed by the proposed method. In order to verify the proposed method, three 4th-order elliptic-response open-loop resonator filters with a relative bandwidth of 4 % at the center frequency of 2.0 GHz are designed. One is realized with constant-width microstrip line resonator and the others are implemented with different-width microstrip line resonator. Compared with the former one, the latter have shown the size reduction of 13 % and 25 %, respectively. Since it may not be possible to implement the resonators with very narrow spacing for the required coupling coefficient filters with two different configurations representing same response characteristic through similarity transformation of the coupling matrix are proposed. From this design flexibility, a filter with a relative bandwidth of 8 % at the center frequency of 2.0 GHz is designed with realizable design parameters.

Effect of Surface Treated Magneto-responsible Particle on the Property of Magneto-rheological Elastomer Based on Silicone Rubber

  • Choi, Soyeon;Chung, Kyungho;Kwon, Seunghyuk;Choi, Hyoungjin
    • Elastomers and Composites
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    • v.51 no.2
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    • pp.113-121
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    • 2016
  • Magneto-rheological elastomer (MRE) is a material which shows reversible and various modulus under magnetic field. Comparing to conventional rubber vibration isolator, MREs are able to absorb broader frequency range of vibration. These characteristic phenomena result from the orientation of magnetic particle (i.e., chain-like formation) in rubber matrix. In this study, silicone rubber was used as a matrix of MREs. Carbonyl iron particle (CIP) was used to give magnetic field reactive modulus of MRE. The surface of the CIP was modified with chemical reactants such as silane coupling agent and poly(glycidyl methacrylate), to improve interfacial adhesion between matrix and CIP. The mechanical properties of MREs were measured without the application of magnetic field. The results showed that the tensile strength was decreased while the hardness was increased with the addition of CIP. Also, surface modification of CIP resulted in the improvement of physical properties of MRE, but the degree of orientation of CIP became decreased. The analysis of MR effect was carried out using electromagnetic equipment with various magnetic flux. As the addition of CIP and magnetic flux increased, increment of MR effect was observed. Even though the surface modification of CIP gave positive effect on the mechanical properties of MRE, MR effect was decreased with the surface modification of CIP due to decrease of CIP orientation. Throughout this study, it was found that the loading amounts of CIP affected the mechanical properties of MRE, and surface property of CIP was an important factor on MR effect of MRE.

Stochastic stability control analysis of an inclined stay cable under random and periodic support motion excitations

  • Ying, Z.G.;Ni, Y.Q.;Duan, Y.F.
    • Smart Structures and Systems
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    • v.23 no.6
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    • pp.641-651
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    • 2019
  • The stochastic stability control of the parameter-excited vibration of an inclined stay cable with multiple modes coupling under random and periodic combined support disturbances is studied by using the direct eigenvalue analysis approach based on the response moment stability, Floquet theorem, Fourier series and matrix eigenvalue analysis. The differential equation with time-varying parameters for the transverse vibration of the inclined cable with control under random and deterministic support disturbances is derived and converted into the randomly and deterministically parameter-excited multi-degree-of-freedom vibration equations. As the stochastic stability of the parameter-excited vibration is mainly determined by the characteristics of perturbation moment, the differential equation with only deterministic parameters for the perturbation second moment is derived based on the $It{\hat{o}}$ stochastic differential rule. The stochastically and deterministically parameter-excited vibration stability is then determined by the deterministic parameter-varying response moment stability. Based on the Floquet theorem, expanding the periodic parameters of the perturbation moment equation and the periodic component of the characteristic perturbation moment expression into the Fourier series yields the eigenvalue equation which determines the perturbation moment behavior. Thus the stochastic stability of the parameter-excited cable vibration under the random and periodic combined support disturbances is determined directly by the matrix eigenvalues. The direct eigenvalue analysis approach is applicable to the stochastic stability of the control cable with multiple modes coupling under various periodic and/or random support disturbances. Numerical results illustrate that the multiple cable modes need to be considered for the stochastic stability of the parameter-excited cable vibration under the random and periodic support disturbances, and the increase of the control damping rather than control stiffness can greatly enhance the stochastic stability of the parameter-excited cable vibration including the frequency width increase of the periodic disturbance and the critical value increase of the random disturbance amplitude.

Micro-shear bond strengths of resin-matrix ceramics subjected to different surface conditioning strategies with or without coupling agent application

  • Gunal-Abduljalil, Burcu;Onoral, Ozay;Ongun, Salim
    • The Journal of Advanced Prosthodontics
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    • v.13 no.3
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    • pp.180-190
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    • 2021
  • Purpose. This study aimed to assess the influence of various micromechanical surface conditioning (MSC) strategies with or without coupling agent (silane) application on the micro-shear bond strength (µSBS) of resin- matrix ceramics (RMCs). Materials and Methods. GC Cerasmart (GC), Lava Ultimate (LU), Vita Enamic (VE), Voco Grandio (VG), and Brilliant Crios (BC) were cut into 1.0-mm-thick slices (n = 32 per RMC) and separated into four groups according to the MSC strategy applied: control-no conditioning (C), air-borne particle abrasion with aluminum oxide particles (APA), 2W- and 3W-Er,Cr:YSGG group coding is missing. The specimens in each group were further separated into silane-applied and silane-free subgroups. Each specimen received two resin cement microtubules (n = 8 per subgroup). A shear force was applied to the adhesive interface through a universal test machine and µSBS values were measured. Data were statistically analyzed by using 3-way ANOVA and Tukey HSD test. Failure patterns were scrutinized under stereomicroscope. Results. RMC material type, MSC strategy, and silanization influenced the µSBS values (P<.05). In comparison to the control group, µSBS values increased after all other MSC strategies (P<.05) while the differences among these strategies were insignificant (P>.05). For control and APA, there were insignificant differences between RMCs (P>.05). The silanization decreased µSBS values of RMCs except for VE. Considerable declines were observed in GC and BC (P<.05). Conclusion. MSC strategies can enhance bond strength values at the RMC - cement interface. However, the choice of MSC strategy is dependent on RMC material type and each RMC can require a dedicated way of conditioning.

Effect of Silane Coupling Agent on the Interfacial Adhesion and Mechanical Properties of Polyketone Fiber Reinforced Epoxy Composites (실란커플링제 처리가 폴리케톤섬유/에폭시 복합재료의 계면접착성 및 물성에 미치는 영향)

  • Jo, Hani;Yang, Jee-Woo;Lim, Hyeon Soo;Oh, Woo Jin;Lee, Seung Goo
    • Textile Coloration and Finishing
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    • v.29 no.2
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    • pp.77-85
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    • 2017
  • The interfacial adhesion between fiber and matrix affects the physical properties of fiber reinforced composites. In this study, 3-(Methacryloyloxy)propyltrimethoxy silane(MPS) coupling agent was used to increase the interfacial adhesion between polyketone fiber and epoxy resin. The change of surface chemical composition of polyketone fiber treated with MPS was analyzed using a FTIR-ATR. The interfacial bonding between fiber and resin increased with silane coupling agent largely. Consequently, interfacial shear strength(IFSS) was enhanced with increasing concentration of MPS coupling agent and thus, the physical properties of the composites such as flexural properties and dynamic mechanical properties were changed. Flexural strength and modulus increased when the MPS concentration was higher than 0.5wt%. The dynamic storage modulus of Polyketone/Epoxy composites treated with MPS was higher than that of the untreated one. When the MPS concentration of 3wt%, the highest storage modulus was obtained.

Decoupling Process of a Coupled Design in Axiomatic Design Using the TRIZ (공리적 설계에서 트리즈를 이용한 연성설계의 비연성화 과정)

  • Shin, Gwang-Seob;Kim, Yong-Il;Park, Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.1 s.256
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    • pp.77-88
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    • 2007
  • Axiomatic Design has been developed as a general design framework during past two decades and TRIZ has been developed for a design tool over 50 years. Axiomatic design is quite excellent in that design should be decoupled. When a design matrix is established, the characteristics of the design are identified according to the coupling properties. If the design is coupled, a decoupling process should be found. However, axiomatic design does not specifically indicate how to decouple a coupled design. In this research, the coupling manner is classified into six patterns. Each pattern could be solved by an appropriate TRIZ module. A table, which matches the coupling pattern and a TRIZ module, is proposed for effective application of the two design theories. The decoupling ideas are proposed by using TRIZ modules. When the number of decoupled designs is more than one, the engineer should select the final idea. The proposed method is applied to practical cases such as a tape feeder and a beam adjuster of the laser marker.

Compliance Analysis for Effective Peg-In-Hole Task (팩인홀 작업을 효율적으로 수행하기 위한 컴플라이언스 해석)

  • Kim, Byeong-Ho;Lee, Byeong-Ju;Seo, Il-Hong;O, Sang-Rok
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.9
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    • pp.181-188
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    • 2000
  • This paper deals with an analysis of the compliance characteristic for effective peg-in-hole task using robot hand without inter-finger coupling. We first observe the fact that some of coupling stiffness elements cannot be planned arbitrary. next we classify the task of inserting a peg-in-a-hole into two contact styles between the peg and the hole. Then we analyze the conditions of the specified stiffness matrix in the operational space to successfully and more effectively achieve the give peg-in-hole task for each case. It is concluded that the location of compliance center on the peg and the coupling stiffness element existing between the translational and the rotational direction play important roles for successful peg-in-hole task. Simulation results are included to verify the feasibility of the analytic results.

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Preparations and Interfacial Phenomena of Hybrid Composites (Hycom) Containing Wasted Stone Powders and Tire Chips (폐석분과 폐타이어 칩을 충진제로 한 혼성복합재(Hycom)의 제조 및 계면현상 연구)

  • Hwang, Teak-Sung;Cha, Ki-Sik
    • Journal of Adhesion and Interface
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    • v.2 no.1
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    • pp.1-8
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    • 2001
  • In this study, wasted stone powders (WSP) obtained from sludge and Wasted Tire Chips (WTC) as fillers have been used to formulate polymer hybrid composites based on Unsaturated Polyester (UPE) resin. To further enhance not only the interfacial bond between the inorganic filler and the polymer matrix, but also the filler dispersion by wetting the particulate surfaces to uniformly spread the resin during the mixing, silane coupling agent[${\gamma}$-methacryloxy propyl trimethoxy silane (${\gamma}$-MPS)] was used. The influences of organic recycled fillers contents and the concentrations of coupling agent in polymer hybrid composite formulations have been investigated from a mechanical and microstructural point o view through Mercury Porosimeter and SEM.

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