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Solution method for the classical beam theory using differential quadrature

  • Rajasekaran, S.;Gimena, L.;Gonzaga, P.;Gimena, F.N.
    • Structural Engineering and Mechanics
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    • v.33 no.6
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    • pp.675-696
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    • 2009
  • In this paper, a unified solution method is presented for the classical beam theory. In Strength of Materials approach, the geometry, material properties and load system are known and related with the unknowns of forces, moments, slopes and deformations by applying a classical differential analysis in addition to equilibrium, constitutive, and kinematic laws. All these relations are expressed in a unified formulation for the classical beam theory. In the special case of simple beams, a system of four linear ordinary differential equations of first order represents the general mechanical behaviour of a straight beam. These equations are solved using the numerical differential quadrature method (DQM). The application of DQM has the advantages of mathematical consistency and conceptual simplicity. The numerical procedure is simple and gives clear understanding. This systematic way of obtaining influence line, bending moment, shear force diagrams and deformed shape for the beams with geometric and load discontinuities has been discussed in this paper. Buckling loads and natural frequencies of any beam prismatic or non-prismatic with any type of support conditions can be evaluated with ease.

Comparative Analysis of Sexual Dimorphism Between Spawning Season and Non-Spawning Season in the Grass Puffer, Takifugu niphobles (복섬, Takifugu niphobles의 산란기 및 비산란기에 따른 성적이형 비교)

  • KIM, Dong Soo;GIL, Hyun Woo;LEE, Tae Ho;PARK, In-Seok
    • Journal of Fisheries and Marine Sciences Education
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    • v.29 no.2
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    • pp.447-452
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    • 2017
  • A closely associated set of characteristics was analyzed using both classical and truss dimensions to discriminate sexual dimorphism between spawning season and non spawning season in grass puffer, Takifugu niphobles. In non-spawning season, $1{\times}10/Ls$ of classical dimension was significantly different between male and female (P<0.05). In spawning season, $1{\times}9/Ls$ and $1{\times}10/Ls$ of classical dimension, $3{\times}8/Ls$, $3{\times}9/Ls$, $3{\times}10/Ls$, $4{\times}8/Ls$, $4{\times}9/Ls$ and $8{\times}9/Ls$ of truss dimension and $7{\times}9/HL$ of head part dimension were significantly different between male and female (P<0.05). The results of this study may be useful as basic information of other fish species to compare the change of sexual dimorphism between spawning season and non spawning season.

An improved Kalman filter for joint estimation of structural states and unknown loadings

  • He, Jia;Zhang, Xiaoxiong;Dai, Naxin
    • Smart Structures and Systems
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    • v.24 no.2
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    • pp.209-221
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    • 2019
  • The classical Kalman filter (KF) provides a practical and efficient way for state estimation. It is, however, not applicable when the external excitations applied to the structures are unknown. Moreover, it is known the classical KF is only suitable for linear systems and can't handle the nonlinear cases. The aim of this paper is to extend the classical KF approach to circumvent the aforementioned limitations for the joint estimation of structural states and the unknown inputs. On the basis of the scheme of the classical KF, analytical recursive solution of an improved KF approach is derived and presented. A revised form of observation equation is obtained basing on a projection matrix. The structural states and the unknown inputs are then simultaneously estimated with limited measurements in linear or nonlinear systems. The efficiency and accuracy of the proposed approach is verified via a five-story shear building, a simply supported beam, and three sorts of nonlinear hysteretic structures. The shaking table tests of a five-story building structure are also employed for the validation of the robustness of the proposed approach. Numerical and experimental results show that the proposed approach can not only satisfactorily estimate structural states, but also identify unknown loadings with acceptable accuracy for both linear and nonlinear systems.

Instability of (Heterogeneous) Euler beam: Deterministic vs. stochastic reduced model approach

  • Ibrahimbegovic, Adnan;Mejia-Nava, Rosa Adela;Hajdo, Emina;Limnios, Nikolaos
    • Coupled systems mechanics
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    • v.11 no.2
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    • pp.167-198
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    • 2022
  • In this paper we deal with classical instability problems of heterogeneous Euler beam under conservative loading. It is chosen as the model problem to systematically present several possible solution methods from simplest deterministic to more complex stochastic approach, both of which that can handle more complex engineering problems. We first present classical analytic solution along with rigorous definition of the classical Euler buckling problem starting from homogeneous beam with either simplified linearized theory or the most general geometrically exact beam theory. We then present the numerical solution to this problem by using reduced model constructed by discrete approximation based upon the weak form of the instability problem featuring von Karman (virtual) strain combined with the finite element method. We explain how such numerical approach can easily be adapted to solving instability problems much more complex than classical Euler's beam and in particular for heterogeneous beam, where analytic solution is not readily available. We finally present the stochastic approach making use of the Duffing oscillator, as the corresponding reduced model for heterogeneous Euler's beam within the dynamics framework. We show that such an approach allows computing probability density function quantifying all possible solutions to this instability problem. We conclude that increased computational cost of the stochastic framework is more than compensated by its ability to take into account beam material heterogeneities described in terms of fast oscillating stochastic process, which is typical of time evolution of internal variables describing plasticity and damage.

Current Status of Translation Research on Korean Medical Classics - Focusing on Analysis by Era and Field - (한의학 분야 고문헌 번역연구 현황 - 시대 및 분야별 분석을 중심으로 -)

  • Kim, Sanghyun
    • Journal of Korean Medical classics
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    • v.35 no.3
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    • pp.1-20
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    • 2022
  • Objectives : Translations of Korean Medical Classical texts were analyzed quantitatively to verify their trend. Based on findings, accumulated problems and their solutions were discussed. Methods : A list of translated Classical texts in the field of Korean Medicine from the National Central Library collection was organized. Afterwards, the publication date, field, author information and content of the translated version were analyzed. Results : Of Chinese Medical texts, those from the Ming and Qing periods were most translated, while major texts pre-dating the Song period were left out. In addition, while texts in the fields of Shanghan-Jingui, comprehensive medical texts, scriptures, medical theories that were high in demand in educational and clinical sectors were actively translated, those in secondary fields were insufficiently translated. Of medical texts of Korea, those from the Joseon period were mostly translated, including major texts such as the Donguibogam and various kinds of texts reflecting research demands. Conclusions : In the future, texts that have not been translated need to be prioritized while basic elements need to be identified for better quality translation. To enable quantitative and qualitative expansion of Korean Medical Classical Texts translation, institutional and academic support is crucial.

CCQC modal combination rule using load-dependent Ritz vectors

  • Xiangxiu Li;Huating Chen
    • Structural Engineering and Mechanics
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    • v.87 no.1
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    • pp.57-68
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    • 2023
  • Response spectrum method is still an effective approach for the design of buildings with supplemental dampers. In practice, complex complete quadratic combination (CCQC) rule is always used in the response spectrum method to consider the effect of non-classical damping. The conventional CCQC rule is based on exact complex mode vectors. Sometimes the calculated complex mode vectors may be not excited by the external loading and errors in the structural responses always arise due to the mode truncation. Load-dependent Ritz (LDR) vectors are associated with the external loading and LDR vectors not excited can be automatically excluded. Also, contributions of higher modes are implicitly contained in the LDR vectors in terms of static responses. To improve the calculation efficiency and accuracy, LDR vectors are introduced in the CCQC rule in the present study. Firstly, the generation procedure of LDR vectors suitable for non-classical damping system is presented. Compared to the conventional LDR vectors, the LDR vectors herein are complex-valued and named as complex LDR (CLDR) vectors. Based on the CLDR vectors, the CCQC rule is then rederived and an improved response spectrum method is developed. Finally, the effectiveness of the proposed method in this paper is verified through three typical non-classical damping buildings. Numerical results show that the CLDR vector is superior to the complex mode with the same number in the calculation. Since the generation of CLDR vectors requires less computational cost and storage space, the method proposed in this paper offers an attractive alternative, especially for structures with a large number of degrees of freedom.

Network-Coding-Based Coded Cooperation

  • Wu, Suwen;Zhu, Jinkang;Qiu, Ling;Zhao, Ming
    • Journal of Communications and Networks
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    • v.12 no.4
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    • pp.366-374
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    • 2010
  • Coded cooperation is a promising user cooperation scheme. In this paper, we first propose a novel network-coding-based coded cooperation scheme. When a user decodes its partner's information correctly in the first frame, it transmits the combination of the partner's parity bits and its own parity bits through network coding in the second frame. This is distinct from the classical scheme, where the user only transmits the partner's parity bits during cooperation. We analyze the outage probability of the proposed scheme, and show that it achieves a full diversity order. Numerical evaluations reveal that the proposed scheme outperforms the classical scheme when the inter-user channel is poor, yet is worse when the inter-user channel is strong. Also, the results show that the proposed scheme always outperforms that of no cooperation in various channel conditions while the performance of classical scheme is worse than that of no cooperation with the poor inter-user channels. This means that the performance of the proposed scheme is more stable than the classical scheme and the proposed scheme is more tolerant to the poor inter-user channels. To combine the advantages of the proposed scheme and the classical scheme under different inter-user channel conditions, we propose an adaptive solution. This adaptive scheme enhances the system performance considerably in all channel conditions in spite of the inter-user channel quality, at the expense of only one acknowledgement or non-acknowledgement bit.

Clinical Factors Related with Antipsychotics Treatment in Bipolar Inpatients - Comparison of Risperidone and Classical Antipsychotics - (양극성장애 입원환자에서 항정신병약물치료와 관련된 임상요인 - 리스페리돈과 전형적 항정신병약물과의 비교를 중심으로 -)

  • Lim, Se-Won;Lee, Min Soo;Kwak, Dong-Il;Jung, In-Kwa
    • Korean Journal of Biological Psychiatry
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    • v.7 no.1
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    • pp.99-106
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    • 2000
  • Background : In spite of relative high risk of extrapyramidal side effect and tardive dyskinesia, it is common clinical practice to use antipyschotics in treatment of bipolar I disorder. But in Korea, there has been few study about clinical factors related with antipsychotics treatment in bipolar disorder patients. So the author studied about the clinical factors related with antipsychotics treatment in bipolar inpatients focusing on the comparison of risperidone and classical antipsychotics. Method : By reviewing medical record retrospectively, datas about patient-related, illness-related, and treatment-related clinical factors on antipsychotics use were collected. Association between antipsychotics dose and duration and clinical factors were analysed by statistical method. Results : Aggressive behavior was only statistically significant factor associated with antipsychotics use. And in the case of aggression, maintenance dose of risperidone was not changed(p=0.84), but dose of classical antipsychotics was increased significantly(p=0.005). Total hospital days and antipsychotics treatment duration showed no difference between risperidone and classical antipsychotics treatment groups. Conclusion : Clinical factors associated with antipsychotics use was aggressive behavior. In the case of aggression, risperidone required lesser dose increment compared with classical antipsychotics.

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The Effect of Classic Live Streaming Performance's Service Quality on Viewer Satisfaction and Purchase Intention of On-site Performance (클래식 라이브 스트리밍 공연의 서비스 품질이 시청만족과 현장공연 구매의도에 미치는 영향)

  • Kim, Sung-Kyung;Limb, Seong-Joon
    • The Journal of the Korea Contents Association
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    • v.20 no.1
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    • pp.60-72
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    • 2020
  • The recent surge in live streaming has also changed the market for classical performing arts. Now more than just recording live performances, content specific to live streaming platforms is being produced, and live streaming is emerging as a new alternative to promoting and enjoying classical performances. Therefore, this study empirically analyzed the effect of service quality factors of the classical live streaming performance on the viewer satisfaction and the purchase intention of the on-site performance over the data collected from 198 viewers. Results suggest that, among the service quality factors of the classic live streaming performance, video content, convenience, and price, except for real-time interaction, affected the viewer satisfaction, and viewer satisfaction in turn affected the purchase intention of the on-site performance. Thus the publicity effect of live streaming for classical performing arts seemed to be proved.

Morphometric Characteristics of Torrent Catfish (Amblycipitidae) in Korea (퉁가리과(Amblycipitidae) 어류 계측형질 특징)

  • Park, In-Seok;Seol, Dong-Won;Kang, Eon-Jong;Kim, Chi-Hong
    • Korean Journal of Ichthyology
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    • v.18 no.3
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    • pp.209-215
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    • 2006
  • A closely associated set of characteristics was analyzed using both classical and truss dimensions to discriminate the morphometric traits of three species of torrent catfish (Amblycipitidae) in Korea. After arcsine square root transformation, 18 measurements relative to the standard length and three measurements relative to the head length of each species of torrent catfish were compared statistically. Classical and truss dimensions of each of four morphometric traits showed higher values in the bullhead torrent catfish, Liobagrus obesus, than the Korean and south torrent catfish (L. andersoni and L. mediadiposalisa, respectively; P<0.05). Truss dimensions of three morphometric traits were higher in the bullhead and Korean torrent catfish than in the south torrent catfish (P<0.05). There were no significant differences in six morphometric traits among these Amblycipitidae. The dimensions used in this study may be useful as taxonomic indicators to discriminate species of Liobagrus in Korea.