• Title/Summary/Keyword: Empirical formula

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Prediction of Pressure Fluctuations on Hammerhead Vehicle at Transonic Speeds Using CFD and Semi-empirical Formula Considering Spatial Distribution (CFD와 공간분포를 고려한 반경험식을 이용한 해머헤드 발사체의 천음속 압력섭동 예측)

  • Kim, Younghwa;Nam, Hyunjae;Kim, June Mo;Sun, Chul
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.6
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    • pp.457-464
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    • 2021
  • To analyze the buffet phenomenon that causes serious vibration loads on a satellite launch vehicle, the pressure fluctuations on a hammerhead launch vehicle at transonic speeds are predicted by coupling CFD analysis and semi-empirical methods. From the RANS simulation, shock oscillation region, separation region, and separation reattachment region are identified, and the boundary layer thickness, the displacement thickness, and flow properties at boundary layer edge are calculated. The pressure fluctuations and power spectra on the hammerhead fairing are predicted by coupling RANS results and semi-empirical methods considering spatial distribution, and compared with the experimental data.

Development of shear capacity equations for RC beams strengthened with UHPFRC

  • Mansour, Walid;Sakr, Mohammed;Seleemah, Ayman;Tayeh, Bassam A.;Khalifa, Tarek
    • Computers and Concrete
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    • v.27 no.5
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    • pp.473-487
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    • 2021
  • The review of the literature and design guidelines indicates a lack of design codes governing the shear strength of reinforced concrete (RC) beams strengthened with ultrahigh-performance fiber-reinforced concrete (UHPFRC). This study uses the results of a 3D finite element model constructed previously by the authors and verified against an experimental programme to gain a clear understanding of the shear strength of RC beams strengthened with UHPFRC by using different schemes. Experimental results found in the literature along with the numerical results for shear capacities of normal-strength RC and UHPFRC beams without stirrups are compared with available code design guidelines and empirical models found in the literature. The results show variance between the empirical models and the experimental results. Accordingly, proposed equations derived based on empirical models found in the literature were set to estimate the shear capacity of normal-strength RC beams without stirrups. In addition, the term 'shear span-to-depth ratio' is not considered in the equations for design guidelines found in the literature regarding the shear capacity of UHPFRC beams without stirrups. Consequently, a formula estimating the shear strength of UHPFRC and RC beams strengthened with UHPFRC plates and considering the effect of shear span-to-depth ratio is proposed and validated against an experimental programme previously conducted by the authors.

On the Grounding Damage of Ship Bottom Stiffened Platings(Part II : Damage Prediction Formula) (좌초시 선저보강판의 손상에 관한 연구(제2보 : 손상추정식))

  • Jeom-Kee Paik;Tak-Kee Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.4
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    • pp.119-129
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    • 1994
  • The aim of the present study is to derive an empirical formula relating the absorbed energy and the cutting length for longitudinally stiffened steel palates which are cut by a wedge, idealizing the ship bottom stiffened platings in groundings. This study is based on the test results and the investigations of some parameters affecting the cutting response, described in Part I. By dimensionless ana1ysis of the test results obtained in a quasi-static loading condition, the energy absorbed while a longitudinally stiffened plate is cut by a wedge is expressed as functions of the cutting length, the yield stress, the equivalent plate thickness and the wedge angle. Also, the dynamic effects are incorporated into the static formula such that the proposed formula can be applied to the impact loading situations. The validity of the proposed formula is checked by comparing with the results obtained by the other existing formulas or by the drop-hammer tests.

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Evaluation and Adjustment of Dynamic Pile-Driving Formulas (말뚝 지지력 산정을 위한 동역학적 공식의 정확도 분석 및 수정)

  • Chung, Choong Ki;Kim, Myoung Mo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.5 no.4
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    • pp.23-30
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    • 1985
  • Dynamic pile-driving formulas are widely used in predicting the load capacity of piles in cohesionless soils. However, the accuracy of the formulas has been questioned for a long time due to their oversimplified assumptions and empirical parameters involved in the formulas. The allowable pile capacities calculated by 6 different dynamic pile-driving formulas are compared statistically with the capacities measured in the field, in this paper, to find out the correlations between the calculated capacities and the measured values. The statistical data are then used to evaluate and to adjust the formulas to improve their accuracy. For the greatest accuracy and simplicity of use, it is recommended that the adjusted form of Gates formula be used. When the result of this recommended formula is compared with that of the existing Olson's modified formula, the former is found to be conservative by more than 10 percents.

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Estimation of exponent value for Pythagorean method in Korean pro-baseball (한국프로야구에서 피타고라스 지수의 추정)

  • Lee, Jang Taek
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.3
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    • pp.493-499
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    • 2014
  • The Pythagorean won-loss formula postulated by James (1980) indicates the percentage of games as a function of runs scored and runs allowed. Several hundred articles have explored variations which improve RMSE by original formula and their fit to empirical data. This paper considers a variation on the formula which allows for variation of the Pythagorean exponent. We provide the most suitable optimal exponent in the Pythagorean method. We compare it with other methods, such as the Pythagenport by Davenport and Woolner, and the Pythagenpat by Smyth and Patriot. Finally, our results suggest that proposed method is superior to other tractable alternatives under criterion of RMSE.

Prediction of bridge flutter under a crosswind flow

  • Vu, Tan-Van;Lee, Ho-Yeop;Choi, Byung-Ho;Lee, Hak-Eun
    • Wind and Structures
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    • v.17 no.3
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    • pp.275-298
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    • 2013
  • This paper presents a number of approximated analytical formulations for the flutter analysis of long-span bridges using the so-called uncoupled flutter derivatives. The formulae have been developed from the simplified framework of a bimodal coupled flutter problem. As a result, the proposed method represents an extension of Selberg's empirical formula to generic bridge sections, which may be prone to one of the aeroelastic instability such as coupled-mode or single-mode (either dominated by torsion or heaving mode) flutter. Two approximated expressions for the flutter derivatives are required so that only the experimental flutter derivatives of ($H_1^*$, $A_2^*$) are measured to calculate the onset flutter. Based on asymptotic expansions of the flutter derivatives, a further simplified formula was derived to predict the critical wind speed of the cross section, which is prone to the coupled-mode flutter at large reduced wind speeds. The numerical results produced by the proposed formulas have been compared with results obtained by complex eigenvalue analysis and available approximated methods show that they seem to give satisfactory results for a wide range of study cases. Thus, these formulas can be used in the assessment of bridge flutter performance at the preliminary design stage.

Modified Design Formula for Predicting the Ultimate Strength of High-tensile Steel Thin Plates

  • Park, Joo Shin;Seo, Jung Kwan
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.27 no.3
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    • pp.447-456
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    • 2021
  • Methods for predicting the ultimate/buckling strength of ship structures have been extensively improved in terms of design formulas and analytical solutions. In recent years, the design strategy of ships and offshore structures has tended to emphasize lighter builds and improve operational safety. Therefore, the corresponding geometrical changes in design necessitate the use of high-tensile steel and thin plates. However, the existing design formulas were mainly developed for thick plates and mild steels. Therefore, the calculation methods require appropriate modification for new designs beased on high-tensile steel and thin plates. In this study, a modified formula was developed to predict the ultimate strength of thin steel plates subjected to compressive and shear loads. Based on the numerical results, the effects of the yield stress, slenderness ratio, and loading condition on the buckling/ultimate strength of steel plates were examined, and a newly modified double-beta parameter formula was developed. The results were used to derive and modify existing closed-form expressions and empirical formulas to predict the ultimate strength of thin-walled steel structures.

A hybrid approach to predict the bearing capacity of a square footing on a sand layer overlying clay

  • Erdal Uncuoglu;Levent Latifoglu;Zulkuf Kaya
    • Geomechanics and Engineering
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    • v.34 no.5
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    • pp.561-575
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    • 2023
  • This study investigates to provide a fast solution to the problem of bearing capacity in layered soils with easily obtainable parameters that does not require the use of any charts or calculations of different parameters. Therefore, a hybrid approach including both the finite element (FE) method and machine learning technique have been applied. Firstly, a FE model has been generated which is validated by the results of in-situ loading tests. Then, a total of 192 three-dimensional FE analyses have been performed. A data set has been created utilizing the soil properties, footing sizes, layered conditions used in the FE analyses and the ultimate bearing capacity values obtained from the FE analyses to be used in multigene genetic programming (MGGP). Problem has been modeled with five input and one output parameter to propose a bearing capacity formula. Ultimate bearing capacity values estimated from the proposed formula using data set consisting of 20 data independent of total data set used in MGGP modelling have been compared to the bearing capacities calculated with semi-empirical methods. It was observed that the MGGP method yielded successful results for the problem considered. The proposed formula provides reasonable predictions and efficient enough to be used in practice.

Comparison of Evaluation Methods of the Small Current Breaking Performance for $SF_{6}$ Gas Circuit Breakers

  • Song, Ki-Dong;Lee, Byeong-Yoon;Park, Kyong-Yop;Park, Jung-Hoo
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.11B no.4
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    • pp.129-136
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    • 2001
  • In order to evaluate the dielectric recovery strength for GCBs, two equations have been usually utilized. One is the empirical formula obtained from a series of tests and the other is the theoretical formula obtained from the streamer theory. In this paper, both methods were applied to predict the small capacitive current interruption capability of model circuit breakers and were investigated in terms of the reliability by comparing the simulation results with test ones.

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Characteristics of Friction Factor for Artificially Roughened Surfaces (임의로 거칠게한 표면의 점성 마찰특성)

  • Ha, Tae Woong;Ju, Young Chan;Lee, Yong-Bok;Kim, Chang-Ho
    • 유체기계공업학회:학술대회논문집
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    • 2002.12a
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    • pp.465-470
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    • 2002
  • For measuring friction-factor of artificially-roughened surfaces which are usually applied on damper seals, flat plate test apparatus is designed and fabricated. the measurement of leakage and pressure distribution through round-hole pattern specimen with different hole area is described and a method is discussed for determining the friction-factor experimentally. Results show that the friction-factor of the round-hole pattern surfaces is bigger than that of smooth surface and increases as increasing the hole area. A empirical friction factor model for round-hole pattern surface is defined as the Moody's friction factor formula.

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