• Structural Engineering and Mechanics
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• v.55 no.6
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• pp.1241-1260
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• 2015

Any rational approach to define the configuration and size of viscous fluid dampers in a structure should be based on the dynamic properties of the system with the dampers. In this paper we propose an alternative representation of the complex eigenvalues of multi degree of freedom systems with dampers to calculate new equivalent natural frequencies. Analytical expressions for the dynamic properties of a two-story building model with a linear viscous damper in the first floor (i.e. with a non-proportional damping matrix) are derived. The formulas permit to obtain the equivalent damping ratios and equivalent natural frequencies for all the modes as a function of the mass, stiffness and damping coefficient for underdamped and overdamped systems. It is shown that the commonly used formula to define the equivalent natural frequency is not applicable for this type of system and for others where the damping matrix is not proportional to the mass matrix, stiffness matrix or both. Moreover, the new expressions for the equivalent natural frequencies expose a novel phenomenon; the use of viscous fluid dampers can modify the vibration frequencies of the structure. The significance of the new equivalent natural frequencies is expounded by means of a simulated free vibration test. The proposed approach may offer a new perspective to study the effect of viscous dampers on the dynamic properties of a structure.

• Advances in nano research
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• v.10 no.2
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• pp.129-138
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• 2021

In present article, utilizing the Love shell theory with volume fraction laws for the cylindrical shells vibrations provides a governing equation for the distribution of material composition of material. Isotopic materials are the constituents of these rings. The position of a ring support has been taken along the radial direction. The Rayleigh-Ritz method with three different fraction laws gives birth to the shell frequency equation. Moreover, the effect of height- and length-to-radius ratio and angular speed is investigated. The results are depicted for circumferential wave number, length- and height-radius ratios with three laws. It is found that the backward and forward frequencies of exponential fraction law are sandwich between polynomial and trigonometric laws. It is examined that the backward and forward frequencies increase and decrease on increasing the ratio of height- and length-to-radius ratio. As the position of ring is enhanced for clamped simply supported and simply supported-simply supported boundary conditions, the frequencies go up. At mid-point, all the frequencies are higher and after that the frequencies decreases. The frequencies are same at initial and final stage and rust itself a bell shape. The shell is stabilized by ring supports to increase the stiffness and strength. Comparison is made for non-rotating and rotating cylindrical shell for the efficiency of the model. The results generated by computer software MATLAB.

• Advances in concrete construction
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• v.13 no.4
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• pp.327-337
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• 2022

This paper is concerned with the vibration analysis of middle layer cylindrical shell made of functionally graded material. The outer layers and inner layer are composed of functionally graded and isotropic material respectively. The Rayleigh Ritz method is applied to solve the presented shell dynamics equations. Two configurations are constructed with layers distributions. Fundamental natural frequencies of the three layered cylindrical shell is plotted against the circumferential wave number with different power law exponents. The frequency decreases with the increase of power law exponent. The fundamental natural frequencies first decreases and fall down to its minimum value, after frequencies increases with circumferential wave number. This is due to change in the magnitude of extensional and bending energies of the cylindrical shells. The computer software MATLAB has been employed for the computation of presented frequencies and tested the results obtained in order to assess the accuracy and validity of the cylindrical shell model for predicting the vibration frequencies of cylindrical shell.

• Earthquakes and Structures
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• v.24 no.4
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• pp.237-245
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• 2023

Based on novel Galerkin's technique, the theoretical study gives a prediction to estimate the vibrations of FG rotating cylindrical shell. Terms of ring supports have been introduced by a polynomial function. Three different laws of volume fraction are utilized for the vibration of cylindrical shells. Variation frequencies with the locations of ring supports have been analyzed and these ring supports are placed round the circumferential direction. The base of this approach is an approximate estimation of eigenvalues of proper functions which are the results of solutions of vibrating equation. Each longitudinal wave number corresponds to a particular boundary condition. The results are given in tabular and graphical forms. By increasing different value of height-to-radius ratio, the resulting backward and forward frequencies increase and frequencies decrease on increasing length-to-radius ratio. There is a new form of frequencies is obtained for different positions of ring supports, which is bell shaped. Moreover, on increasing the rotating speed, the backward frequencies increase and forward frequencies decreases.

• Advances in concrete construction
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• v.13 no.3
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• pp.223-231
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• 2022

The problem is formulated by applying the Kirchhoff's conception for shell theory. The longitudinal modal displacement functions are assessed by characteristic beam ones meet clamped-clamped end conditions applied at the shell edges. The fundamental natural frequency of rotating functionally graded cylindrical shells of different parameter versus ratios of length-to-diameter and height-to-diameter for a wide range has been reported and investigated through the study with fractions laws. The frequency first increases and gain maximum value with the increase of circumferential wave mode. By increasing different value of height-to-radius ratio, the resulting backward and forward frequencies increase and frequencies decrease on increasing height-to-radius ratio. Moreover, on increasing the rotating speed, the backward frequencies increases and forward frequencies decreases. The trigonometric frequencies are lower than that of exponential and polynomial frequencies. Stability of a cylindrical shell depends highly on these aspects of material. More the shell material sustains a load due to physical situations, the more the shell is stable. Any predicted fatigue due to burden of vibrations is evaded by estimating their dynamical aspects.

• Structural Monitoring and Maintenance
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• v.10 no.4
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• pp.361-379
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• 2023

In cable structure maintenance, particularly for cable-stayed bridges, cable safety assessment relies on estimating cable tension. Conventionally, in Japan, cable tension is estimated from the natural frequencies of the cable using the higher-order vibration method. In recent years, dampers have been installed on cables to reduce cable vibrations. Because the higher-order vibration method is a method for damper-free cables, the damper must be removed to measure the natural frequencies of a cable without a damper. However, cables on some cable-stayed bridges have two dampers: one on the girder side and another on the tower side. Notably, removing and reinstalling the damper on the tower side are considerably more time- and labor-intensive. This paper introduces a tension estimation method for cables with two dampers, using natural frequencies. The proposed method was validated through numerical simulation and experiment. In the numerical tests, without measurement error in the natural frequencies, the maximum estimation error among 100 models was 3.3%. With measurement error of 2%, the average estimation error was within 5%, with a maximum error of 9%. The proposed method has high accuracy because the higher-order vibration method for a damper-free cable still has an estimation error of 5%. The experimental verification emphasizes the importance of accurate damper modeling, highlighting potential discrepancies between existing damper design formula and actual damper behavior. By revising the damper formula, the proposed method achieved accurate cable tension estimation, with a maximum estimation error of approximately 10%.

• Korean Journal of Animal Reproduction
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• v.19 no.3
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• pp.235-241
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• 1995

These experiments were carried out to find genetic polymorphisms of Serum protein like Pre-albumin(Pr), Albumin(Al) and Transferrin(Tf), and establish preservation of pure pedigree in Korean Native Goats(KNG). Their serum was collected and examined from the total of 74 KNG that raised in Tang Jin district, Chungnam-province. They were biochemically analysed by polyacrylamide gel(7.5%) electrophoresis(PAGE) in order to estimate the frequencies of genotypes and alleles existing on each trait locus. The results obtained in these experiments were summarized as follows ; 1. In the serum Pre-albumin(Pr) locus, the frequencies of genotypes for hetero AB and homo BB observed were 55.4%, and 44.6%, respectively. While homo AA was not found in the Pr locus. The frequencies of gene in PrA and PrB were 0.723 and 0.277, respectively. Accordingly, the Pr loci were assumed to be controlled by alleles PrA and PrB. 2. The frequencies of genotypes of homo BB and hetero AB detected in Albumin(Al) locus were 75.7% and 24.3%, respectively. However, AA type was not observed in the Al locus. The gene frequencies of AlA an AlB were 0.879 and 0.121, respectively. Also, the Al loci were considered to be controlled by alleles AlA and AlB. 3. The frequencies of genotypes for hetero AD and homo DD found in Transferrin (Al) locus were 79.7% and 20.3%, respectively. Whereas, homotype AA was not detected in this locus. The gene frequencies of TfA and TfD were 0.399 and 0.601, respectively. Therefore, the serum Tf loci were assumed to be controlled by alleles Tfa and Tfd.

• Journal of Nutrition and Health
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• v.32 no.1
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• pp.64-64
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• 1999

The relations between micorfloral compositions and environmental factors of 32 Korean infants were sought through statistical analysis after examination of fecal bacterial and questions to their mothers about feeding experiences at three different times for each subjects, about one week after birth, before weaning (2-3 months after birth), and after weaning 95-7 months after birth). The majority of mothers fed their infants cereal foods after the age of 4 months and began weaning with fruit juice and commercial weaning foods. Defection frequencies and fecal pH of infants decreased significantly during the examination period and 37.5% of total infants in fecal samples increased significantly during the examination period, which means that the kinds of bacterial genera increase with aging of infants. Frequencies of streptococci were significantly higher in infants fed delivered by Caesarian section than infants delivered naturally. Frequencies of clostridia were significantly higher in infants fed with cereal food before 4 months of age than after 5 months. The infants fed with probiotics showed significantly higher frequencies of veillonella at about 1 week old. They also showed significantly higher frequencies of clostridia before weaning than the infant fed with no probiotics, but significantly lower frequencies of C. perfringens before weaning. The infants fed with probiotics showed significantly higher number of streptococci at the age of about 1 week and significantly higher numbers of total aerobes before weaning, but significantly lower numbers of bacteroides after weaning than their counter parts. The fecal pH was directly proportional to the number of clostridia, klebsiella, and total aerobes at about 1 week after birth, to the number of E. coli before weaning, and to the number of streptococci and clostridia after weaning. Fecal pH had a negative relationship to the total number of anaerobes in 1-week-old infants. The infants that had diarrhea during lactation showed higher frequencies of bacteroides before weaning than those that didn't.

• Journal of The Korean Society of Grassland and Forage Science
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• v.14 no.2
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• pp.69-75
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• 1994

This experiment was canied out to study the effect of cutting frequencies (3, 4 and 5 cuts per year) and mineral nitrogen fertilization on dry matter yields, in order to estimate optimum level of fertilizing mineral nitrogen in orchardgrass(Dacry1is glomerafa L.). The results are as follows: 1. Dry matter yields were the highest in the 1st cut at 3 cutting frequency and in the 2nd cut at 4 and 5 cutting frequencies, and they shared 49.7, 37.0 and 37.0% of annual dry matter yield respectively. 2. When only phosphorus and potassium were applied, annual dry matter yields were between 9.4 and 11.5 tons per ha and the highest yield was observed at 3 cutting frequency. 3. Dry matter yield in relation to fertilization of mineral nitrogen was highly increased when more nitrogen was applied as 360 kg per ha compared to 240 kg per ha at 3 cutting frequency. At 4 and 5 cutting frequencies, increases in dry matter yield, to large extent, were showed at 120 and 150 kg of nitrogen per ha(30 kg Nlcutlha) compared to no application of nitrogen. The efficiencies of mineral nitrogen fertilization (kg DM/kg N) were 28.0, 22.7 and 20.6 kg dry matter yields per nitrogen(kg) respectively). 4. At 4 and 5 cutting frequencies, dry matter yields were reduced when 360 kg and 300 kg of mineral nitrogen per ha(90 kg and 60 kg Nlcutlha) were applied respectively. 5. Particularly at 4 and 5 cutting frequencies of this study, maximum marginal yields reached at 129.9 kg and 148.0 kg of fertilizing mineral nitrogen per ha, and economical borden of mineral nitrogen fertilization were between 222.4 and 250.0 kg and between 244.8 and 276.8 kg respectively. At the same cutting frequencies, the highest dry matter yields were obtained at 365.4 and 433.8 kg of fertilizing mineral nitrogen respectively.

• Journal of Korean Association for Spatial Structures
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• v.4 no.4 s.14
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• pp.113-128
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• 2004

A three-dimensional (3-D) method of analysis is presented for determining the free vibration frequencies and mode shapes of solid paraboloidal and complete (that is, without a top opening) paraboloidal shells of revolution with variable wall thickness. Unlike conventional shell theories, which are mathematically two-dimensional (2-D), the present method is based upon the 3-D dynamic equations of elasticity. The ends of the shell may be free or may be subjected to any degree of constraint. Displacement components $u_r,\;u_{\theta},\;and\;u_z$ in the radial, circumferential, and axial directions, respectively, are taken to be sinusoidal in time, periodic in ${\theta}$, and algebraic polynomials in the r and z directions. Potential (strain) and kinetic energies of the paraboloidal shells of revolution are formulated, and the Ritz method is used to solve the eigenvalue problem, thus yielding upper bound values of the frequencies by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four digit exactitude is demonstrated for the first five frequencies of the complete, shallow and deep paraboloidal shells of revolution with variable thickness. Numerical results are presented for a variety of paraboloidal shells having uniform or variable thickness, and being either shallow or deep. Frequencies for five solid paraboloids of different depth are also given. Comparisons are made between the frequencies from the present 3-D Ritz method and a 2-D thin shell theory.