• Title/Summary/Keyword: non-classical

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Analytical and numerical algorithm for exploring dynamic response of non-classically damped hybrid structures

  • Raheem, Shehata E. Abdel
    • Coupled systems mechanics
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    • v.3 no.2
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    • pp.171-193
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    • 2014
  • The dynamic characterization is important in making accurate predictions of the seismic response of the hybrid structures dominated by different damping mechanisms. Different damping characteristics arise from the construction of hybrid structure with different materials: steel for the upper part; reinforced concrete for the lower main part and interaction with supporting soil. The process of modeling damping matrices and experimental verification is challenging because damping cannot be determined via static tests as can mass and stiffness. The assumption of classical damping is not appropriate if the system to be analyzed consists of two or more parts with significantly different levels of damping. The dynamic response of structures is critically determined by the damping mechanisms, and its value is very important for the design and analysis of vibrating structures. A numerical algorithm capable of evaluating the equivalent modal damping ratio from structural components is desirable for improving seismic design. Two approaches are considered to explore the dynamic response of hybrid tower of cable-stayed bridges: The first approach makes use of a simplified model of 2 coupled lumped masses to investigate the effects of subsystems different damping, mass ratio, frequency ratio on dynamic characteristics and equivalent modal damping; the second approach employs a detailed numerical step-by step integration procedure.

Vertical isolation of a structure based on different states of seismic performance

  • Milanchian, Reza;Hosseini, Mahmood;Nekooei, Masoud
    • Earthquakes and Structures
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    • v.13 no.2
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    • pp.103-118
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    • 2017
  • In vertical seismic isolation (VSI), a building is partitioned intentionally by vertical layers into two dynamically different substructures for seismic response reduction. Initially, a 1-story frame was partitioned into two substructures, interconnected by viscous and visco-elastic links, and seismic responses of the original and the vertically isolated structures (VIS) were obtained, considering a large number of stiffness and mass ratios of substructures with respect to the original structure. Color contour graphs were defined for presentation and investigation of large amounts of output results. Dynamic characteristics of the isolated structures were studied by considering the non-classical damping of the system, and then the effects of viscous and visco-elastic link parameters on the modal damping ratios were discussed. On this basis, three states of mass isolation, interactional state, and control mass were differentiated. Response history analyses were performed by Runge-Kutta numerical method. In these analyses, interaction of isolation ratios and link parameters, on response control of VIS was studied and the appropriate ranges for link parameters as well as the optimal ranges for isolation ratios were suggested. Results show that by using the VSI technique, seismic response reduction up to 50% in flexible substructure and even more in stiff substructure is achievable.

On bending of cutout nanobeams based on nonlocal strain gradient elasticity theory

  • Alazwari, Mashhour A.;Eltaher, Mohamed A.;Abdelrahman, Alaa A.
    • Steel and Composite Structures
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    • v.43 no.6
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    • pp.707-723
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    • 2022
  • This article aims to investigate the size dependent bending behavior of perforated nanobeams incorporating the nonlocal and the microstructure effects based on the nonlocal strain gradient elasticity theory (NSGET). Shear deformation effect due to cutout process is studied by using Timoshenko beams theory. Closed formulas for the equivalent geometrical characteristics of regularly squared cutout shape are derived. The governing equations of motion considering the nonlocal and microstructure effects are derived in comprehensive procedure and nonclassical boundary conditions are presented. Analytical solution for the governing equations of motion is derived. The derived non-classical analytical solutions are verified by comparing the obtained results with the available results in the literature and good agreement is observed. Numerical results are obtained and discussed. Parametric studies are conducted to explore effects of perforation characteristics, the nonclassical material parameters, beam slenderness ratio as well as the boundary and loading conditions on the non-classical transverse bending behavior of cutout nanobeams. Results obtained are supportive for the design, analysis and manufacturing of such nanosized structural system.

Tonal Perception of Korean Traditional Musical Tones by Western Music Experts (국악음에 대한 서양 음악 전문가의 조성적 지각)

  • 권윤주;김경일
    • Korean Journal of Cognitive Science
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    • v.11 no.2
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    • pp.11-18
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    • 2000
  • The tonal music organizes the tones based on the hierarchy of the relative importance of musical tones. So listeners who are familiar with a certain musical style internalize the tonal schema of that music in mind, though they have no formal training about these organizing principles. This research examined how the western music experts who are not familiar with classical Korean music interpret classical Korean music. In the other researches about musical styles outside the western music, the superficial informations such as the distribution and the duration of tones in the experimental stimulus might be used as cues to extract the tonal schema of that music. In this study, these superficial informations were controlled in order to reduce this possibility. The results showed that the western music experts might interpret classical Korean music with the tonal schema of western music. but, thought the western music experts perceived classical Korean music on the base of the western musical framework and so their interpretation was not match with the tonal schema of classical Korean music. their interpretation was more similar to classical Korean tonal schema than the non-musicians interpretation of classical Korean music. These results suggested that the extensive experiences in a specific musical style can facilitate the listeners proper apprehension of the other musical styles.

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A GENERAL MULTIPLE-TIME-SCALE METHOD FOR SOLVING AN n-TH ORDER WEAKLY NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING

  • Azad, M. Abul Kalam;Alam, M. Shamsul;Rahman, M. Saifur;Sarker, Bimolendu Shekhar
    • Communications of the Korean Mathematical Society
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    • v.26 no.4
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    • pp.695-708
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    • 2011
  • Based on the multiple-time-scale (MTS) method, a general formula has been presented for solving an n-th, n = 2, 3, ${\ldots}$, order ordinary differential equation with strong linear damping forces. Like the solution of the unified Krylov-Bogoliubov-Mitropolskii (KBM) method or the general Struble's method, the new solution covers the un-damped, under-damped and over-damped cases. The solutions are identical to those obtained by the unified KBM method and the general Struble's method. The technique is a new form of the classical MTS method. The formulation as well as the determination of the solution from the derived formula is very simple. The method is illustrated by several examples. The general MTS solution reduces to its classical form when the real parts of eigen-values of the unperturbed equation vanish.

Strongly coupling partitioned scheme for enhanced added mass computation in 2D fluid-structure interaction

  • Lefrancois, Emmanuel;Brandely, Anais;Mottelet, Stephane
    • Coupled systems mechanics
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    • v.5 no.3
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    • pp.235-254
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    • 2016
  • A numerical model for fluid-structure interactions (abbr. FSI) is presented in the context of sloshing effects in movable, partially filled tanks to improve understanding of interactions between the fluid and the dynamics of a tank flexibly attached to a vehicle. The purpose of this model is to counteract the penalizing impact of the added mass effect on classical partitioned FSI coupling scheme: the proposed investigation is based on an added mass corrected version of the classical strongly coupled partitioned scheme presented in (Song et al. 2013). Results show that this corrected version systematically allows convergence to the coupled solution. In the rare cases where convergence is already obtained, the corrected version significantly reduces the number of iterations required. Finally, it is shown that the convergence limit imposed by added mass effect for the non-corrected coupling scheme, is directly dependent on the aspect ratio of the fluid domain and highly related to the precision order of the temporal discretization scheme.

A Design of Fuzzy-Neural Network Algorithm Controller for Path-Tracking in Wheeled Mobile Robot (구륜 이동 로봇의 경로추적을 위한 퍼지-신경망을 이용한 제어기 설계)

  • Kim, Je-Hyeon;Kim, Sang-Won;Lee, Yong-Hyeon;Park, Jong-Guk
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.255-258
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    • 2003
  • It is hard to centrol the wheeled mobile robot because of uncertainty of modeling, non-holonomic constraint and so on. To solve the problems, we design the controller of wheeled mobile robot based on fuzzy-neural network algorithm. In this paper, we should research the problem of classical controller for path-tracking algorithm and design of Fuzzy-Neural Network algorithm controller. Classical controller acquired different control value according to change of initial position and direction. In this control value having very difficult and having acquired a lot of trial and error Fuzzy is implemented to adaptive adjust control value by error and change of error and neural network is implemented to adaptive adjust the control gain during the optimization. The computer simulation shows that the proposed fuzzy-neural network controller is effective.

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TRANSFER PROPERTIES OF GORENSTEIN HOMOLOGICAL DIMENSION WITH RESPECT TO A SEMIDUALIZING MODULE

  • Di, Zhenxing;Yang, Xiaoyan
    • Journal of the Korean Mathematical Society
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    • v.49 no.6
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    • pp.1197-1214
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    • 2012
  • The classes of $G_C$ homological modules over commutative ring, where C is a semidualizing module, extend Holm and J${\varnothing}$gensen's notions of C-Gorenstein homological modules to the non-Noetherian setting and generalize the classical classes of homological modules and the classes of Gorenstein homological modules within this setting. On the other hand, transfer of homological properties along ring homomorphisms is already a classical field of study. Motivated by the ideas mentioned above, in this article we will investigate the transfer properties of C and $G_C$ homological dimension.

Story of the monkey: The modular narrative and its origin of

  • Wang, Lei
    • Cartoon and Animation Studies
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    • s.29
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    • pp.61-75
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    • 2012
  • The essay explores the narrative structure of the classical Chinese feature animation, (a.k.a. Da Nao Tian Gong, 1964). The film is presented with a modular structure which is quite unique compared with the storytelling in feature animated films from other cultures, but could be connected with the tradition narrative structure in Chinese Zhanghui style novels in Ming and Qing Dynasty. By relating the original text of the story, the 16th century novel Journey to the West (a.k.a. Xi You Ji), with the film , the essay addresses the question of how the narrative tradition in Chinese classical literature influenced the Uproar in Heave for its segment narrative structure, character driven storytelling strategy and mirrored repetitive 2 plot lines. The subject of this essay is even more significant after the restored 3D version of was re-released in the spring of 2012 and became one of the best-selling animated feature film in the history of the country.

ON FULLY IDEMPOTENT RINGS

  • Jeon, Young-Cheol;Kim, Nam-Kyun;Lee, Yang
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.715-726
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    • 2010
  • We continue the study of fully idempotent rings initiated by Courter. It is shown that a (semi)prime ring, but not fully idempotent, can be always constructed from any (semi)prime ring. It is shown that the full idempotence is both Morita invariant and a hereditary radical property, obtaining $hs(Mat_n(R))\;=\;Mat_n(hs(R))$ for any ring R where hs(-) means the sum of all fully idempotent ideals. A non-semiprimitive fully idempotent ring with identity is constructed from the Smoktunowicz's simple nil ring. It is proved that the full idempotence is preserved by the classical quotient rings. More properties of fully idempotent rings are examined and necessary examples are found or constructed in the process.