• Title/Summary/Keyword: approximately equivalent

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ON THE CLOSURE OF DOMINANT OPERATORS

  • Yang, Young-Oh
    • Communications of the Korean Mathematical Society
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    • v.13 no.3
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    • pp.481-487
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    • 1998
  • Let (equation omitted) denote the closure of the set (equation omitted) of dominant operators in the norm topology. We show that the Weyl spectrum of an operator T $\in$ (equation omitted) satisfies the spectral mapping theorem for analytic functions, which is an extension of [5, Theorem 1]. Also we show that an operator approximately equivalent to an operator of class (equation omitted) is of class (equation omitted).

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Experimental Study on Dependent Characteristics of Lead Rubber Bearing for Buildings (건물용 납면진받침의 의존성 평가 실험)

  • 정길영;박건록;하동호;김두훈
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.03a
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    • pp.373-382
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    • 2002
  • In this paper, the characteristic dependencies of LRB(lead rubber bearing) were studied by various prototype tests on LRB for buildings. The characteristics of LRB were dependent on displacements, repeated cycles, frequencies, vertical pressures and temperatures. The prototype test showed that the displacement was the most governing factor influencing on characteristics of LRB. The effective stiffness and equivalent damping of LRB were decreased with large displacement, and increased with high frequency. After the repeated cyclic test with 50 cycles, the effective stiffness and equivalent damping of LRB were reduced by approximately 20% compared with those of the 1$^{st}$ cycle. The effective stiffness was decreased with high vertical pressure, while the equivalent damping was increased. In which, the equivalent damping was more dependent on the vertical pressure than the effective stiffness.s.

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A Stochastic Prediction of Rolling of Ships Using Equivalent Non-linear Method (등가 비선형화 법에 의한 선박 횡요의 확률론적 예측)

  • Sun-Hong Kwon;Jung-Han Chung;Dae-Woong Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.2
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    • pp.60-65
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    • 1992
  • The roll response of a ship to random beam seas is investigated in terms of the threshold crossing process. The non-white excitation process is modeled as an equivalent white-noise one based on the assumption that the upcrossing properties of the response can be approximately replaced by the excitation with a white noise process with a suitable intensity. Then the non-linear damping is reinstated. The reinstated equation of motion with the equivalent white-noise intensity is solved using the equivalent non-linear method to get the desired probability density function. The proposed scheme is tested extensively with varing coefficients.

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A Study on the Aerodynamic Diameter of Flame-generated Aggregates (화염에서 생성된 응집체의 공기역학적 입경에 대한 연구)

  • Kwon, Moon-Seok;Park, Hyung-Ho;Kim, Sang-Soo
    • Proceedings of the KSME Conference
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    • 2001.06d
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    • pp.600-604
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    • 2001
  • The relation between the aerodynamic diameter and some morphological parameters was studied for flame-generated aggregates. $SiO_{2}$ aggregates were generated from $SiCl_{4}$ in premixed methane/air flames. These aggregates were sampled and classified according to their aerodynamic diameter by a cascade impactor; moreover, computer program was developed and tested to find the equivalent area diameter and the fractal dimension of the aggregates. We calculated the parameters from the digitized images of the aggregate TEM micrographs. The aerodynamic diameters of the sampled aggregates were larger than $0.4{\mu}m$ in this experiment. In most cases, fractal dimension of their projection image was very close to 2.0 for these large aggregates. It was found that the equivalent area diameter of these aggregates was approximately three times larger than the Stokes' diameter of them.

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Discontinuous deformation analysis for reinforced concrete frames infilled with masonry walls

  • Chiou, Yaw-Jeng;Tzeng, Jyh-Cherng;Hwang, Shuenn-Chang
    • Structural Engineering and Mechanics
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    • v.6 no.2
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    • pp.201-215
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    • 1998
  • The structural behavior of reinforced concrete frame infilled with a masonry wall is investigated by the method of discontinuous deformation analysis (DDA). An interface element is developed and it is incorporated into DDA to analyze the continuous and discontinuous behavior of the masonry structure. The numerical results are compared with previous research and possess satisfactory agreement. Then the structural behavior and stress distribution of a reinforced concrete frame infilled with a masonry wall subjected to a horizontal force are studied. In addition, the justification of equivalent strut is assessed by the distribution of principal stresses. The results show that the behavior of the masonry structure is highly influenced by the failure of mortar. On the basis of the distribution of principal stress of the masonry wall in the reinforced concrete frame, the equivalent strut can be approximately substituted for the masonry wall without separation and opening. However, the application of equivalent strut to the masonry wall with separation and opening needs further study.

A STOCHASTIC EVALUATION METHOD OF ACOUSTIC SYSTEMS BASED ON EQUIVALENT ZERO-MEMORY TYPE NON-LINEAR SYSTEM

  • Minamihara, Hideo;Ohta, Mitsuo
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1994.06a
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    • pp.830-835
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    • 1994
  • In this paper, a new method of statistically evaluating an output response probability distribution of a memory type non-linear system is practically derived based on a zero-memory type non-linear equivalent system. That is, first, the objective system is approximately and functionally separated into two functional parts, i.e., a zero-memory type non-linear part and a memory type linear part according to the well-known Wiener's idea. A whole mathematical frame of the output probability distribution is evaluated in an approximate but generalized form, based on the equivalent zero-memory type non-linear part. The memory effects between the input and the output of the system are reflected in the statistical parameters and the expansion coefficients.

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Pressure Losses in PVC Pipe and Fittings (PVC 배관부품의 마찰 손실)

  • Cho, Sung-Hwan;Choi, Jin-Hee
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.13 no.4
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    • pp.209-214
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    • 1984
  • Friction factors and equivalent sand roughness of PVC pipe fittings have been studied by experiments in the Reynolds number range of $2,000\~70,000$. PVC pipe fittings studied are straight pipes, $90^{\circ}$ elbows and tees with 15, 25, and 40mm in norminal diameter, all manufactured in Korea with KS mark approval. Equivalent relative roughness of PVC pipes obtained lies between smooth pipe and 0.002. The study shows that equivalent sand roughness of PVC pipes increasses in proportion of the square root of pipe diameter , and can be approximately abtained by multiplying 4 to the root mean square value measured by metal surface roughness tester. Loss coefficient of PVC $90^{\circ}$ elbows decreases slowly with increasing Reynolds number. Loss coeffiicent of tees is a function of ratio of flow rates and Reynolds number.

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Experimental analysis of damage in short-fiber-reinforced composite waste polyethylene terephthalate as a pile foundation material

  • Jang, Hongseok;Seo, Segwan;Cho, Daesung
    • Steel and Composite Structures
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    • v.45 no.1
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    • pp.147-157
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    • 2022
  • This study assessed the compressive and tensile strengths and modulus of elasticity of waste polyethylene terephthalate (PET) using the ASTM standard tests. In addition, short carbon and glass fibers were mixed with waste PET to examine the improvements in ductility and strength during compression. The bonding was examined via field-emission scanning electron microscopy. The strength degradation of the waste PET tested under UV was 40-50%. However, it had a compressive strength of 32.37 MPa (equivalent to that of concrete), tensile strength of 31.83 MPa (approximately ten times that of concrete), and a unit weight of 12-13 kN/m3 (approximately half that of concrete). A finite element analysis showed that, compared with concrete, a waste PET pile foundation can support approximately 1.3 times greater loads. Mixing reinforcing fibers with waste PET further mitigated this, thereby extending ductility. Waste PET holds excellent potential for use in foundation piles, especially while mitigating brittleness using short reinforcing fibers and avoiding UV degradation.

Simulation of Surface Acoustic Wave Filters Using SPICE (SPICE를 사용한 표면음파 필터의 시뮬레이션)

  • Yu, Sang-Dae
    • Journal of Sensor Science and Technology
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    • v.10 no.2
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    • pp.142-147
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    • 2001
  • Using transmission-line equivalent circuit based on cross-field model for an interdigital acoustic wave transducer, an efficient simulation technique of SAW filters by SPICE is proposed. Propagation of surface acoustic wave is modeled as transmission line so that frequency-dependent circuit elements are not needed in the equivalent circuit of an interdigital transducer. Because the equivalent circuits for frequency-dependent circuit elements are not derived approximately, and a small number of circuit elements are used in the equivalent circuit for filters, simulation time is much reduced. The utility of the proposed technique is demonstrated through simulation for the characteristics of SAW filters such as insertion loss, input admittance, passband ripple, and harmonic frequency response.

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A Study on Equivalent Square Field in High Energy Photon Beam (고에너지 Photon Beam에 있어서 Equivalent Square Field에 관한 고찰)

  • Kim, Sung-Kyu;Shin, Sei-One;Kim, Myung-Se
    • Journal of Yeungnam Medical Science
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    • v.4 no.2
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    • pp.83-88
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    • 1987
  • An analytic expression for equivalent square fields and a table are derived using the empirical representations obtained from the measured field size dependence of output for square field in a phantom. The expression is applicable to radiation fields that consistent with the following two assumptions Imposed on these representations. 1) It is a linear function of the logarithm of the field area, and 2) It is approximately the same function for both square and circular field of similar areas. In this paper, the derived tables and BJR table were consulted.

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