• 제목/요약/키워드: simplified solution

검색결과 353건 처리시간 0.028초

Guidance Law for Agile Turn of Air-to-Air Missile During Boost Phase

  • Han, Seungyeop;Bai, Ji Hoon;Hong, Seong-Min;Roh, Heekun;Tahk, Min-Jea;Yun, Joongsup;Park, Sanghyuk
    • International Journal of Aeronautical and Space Sciences
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    • 제18권4호
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    • pp.709-718
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    • 2017
  • This paper proposes the guidance laws for an agile turn of air-to-air missiles during the initial boost phase. Optimal solution for the agile turn is obtained based on the optimal control theory with a simplified missile dynamic model. Angle-of-attack command generating methods for completion of agile turn are then proposed from the optimal solution. Collision triangle condition for non-maneuvering target is reviewed and implemented for update of terminal condition for the agile turn. The performance of the proposed method is compared with an existing homing guidance law and the minimum-time optimal solution through simulations under various initial engagement scenarios. Simulation results verify that transition to homing phase after boost phase with the proposed method is more effective than direct usage of the homing guidance law.

An analytical solution of bending thin plates with different moduli in tension and compression

  • He, Xiao-Ting;Hu, Xing-Jian;Sun, Jun-Yi;Zheng, Zhou-Lian
    • Structural Engineering and Mechanics
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    • 제36권3호
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    • pp.363-380
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    • 2010
  • Materials which exhibit different elastic moduli in tension and compression are known as bimodular materials. The bimodular materials model, which is founded on the criterion of positive-negative signs of principal stress, is important for the structural analysis and design. However, due to the inherent complexity of the constitutive relation, it is difficult to obtain an analytical solution of a bimodular bending components except in particular simple problems. Based on the existent simplified model, this paper solves analytically bending thin plates with different moduli in tension and compression. By using the continuity conditions of stress components in unknown neutral layer, we determine the location of the neutral layer, and derive the governing differential equation for deflection, the flexural rigidity, and the internal forces in the thin plate. We also use a circular thin plate with bimodulus to illustrate the application of this solution derived in this paper. The results show that the introduction of different moduli has influences on the flexural stiffness of the bending thin plate.

Stability of perforated nanobeams incorporating surface energy effects

  • Almitani, Khalid H.;Abdelrahman, Alaa A.;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제35권4호
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    • pp.555-566
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    • 2020
  • This paper aims to present an analytical methodology to investigate influences of nanoscale and surface energy on buckling stability behavior of perforated nanobeam structural element, for the first time. The surface energy effect is exploited to consider the free energy on the surface of nanobeam by using Gurtin-Murdoch surface elasticity theory. Thin and thick beams are considered by using both classical beam of Euler and first order shear deformation of Timoshenko theories, respectively. Equivalent geometrical constant of regularly squared perforated beam are presented in simplified form. Problem formulation of nanostructure beam including surface energies is derived in detail. Explicit analytical solution for nanoscale beams are developed for both beam theories to evaluate the surface stress effects and size-dependent nanoscale on the critical buckling loads. The closed form solution is confirmed and proven by comparing the obtained results with previous works. Parametric studies are achieved to demonstrate impacts of beam filling ratio, the number of hole rows, surface material characteristics, beam slenderness ratio, boundary conditions as well as loading conditions on the non-classical buckling of perforated nanobeams in incidence of surface effects. It is found that, the surface residual stress has more significant effect on the critical buckling loads with the corresponding effect of the surface elasticity. The proposed model can be used as benchmarks in designing, analysis and manufacturing of perforated nanobeams.

NUMERICAL ANALYSIS OF THERMAL STRATIFICATION IN THE UPPER PLENUM OF THE MONJU FAST REACTOR

  • Choi, Seok-Ki;Lee, Tae-Ho;Kim, Yeong-Il;Hahn, Dohee
    • Nuclear Engineering and Technology
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    • 제45권2호
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    • pp.191-202
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    • 2013
  • A numerical analysis of thermal stratification in the upper plenum of the MONJU fast breeder reactor was performed. Calculations were performed for a 1/6 simplified model of the MONJU reactor using the commercial code, CFX-13. To better resolve the geometrically complex upper core structure of the MONJU reactor, the porous media approach was adopted for the simulation. First, a steady state solution was obtained and the transient solutions were then obtained for the turbine trip test conducted in December 1995. The time dependent inlet conditions for the mass flow rate and temperature were provided by JAEA. Good agreement with the experimental data was observed for steady state solution. The numerical solution of the transient analysis shows the formation of thermal stratification within the upper plenum of the reactor vessel during the turbine trip test. The temporal variations of temperature were predicted accurately by the present method in the initial rapid coastdown period (~300 seconds). However, transient numerical solutions show a faster thermal mixing than that observed in the experiment after the initial coastdown period. A nearly homogenization of the temperature field in the upper plenum is predicted after about 900 seconds, which is a much shorter-term thermal stratification than the experimental data indicates. This discrepancy may be due to the shortcoming of the turbulence models available in the CFX-13 code for a natural convection flow with thermal stratification.

Simplified HPLC Method for the Determination of Pseudoephedrine Hydrochloride from Allegra D Tablet

  • Park, Moon-Hee;Shin, In-Chul
    • Biomolecules & Therapeutics
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    • 제15권2호
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    • pp.123-126
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    • 2007
  • A sensitive, simple and highly selective liquid chromatography method of determination for extraction of pseudoephedrine hydrochloride from Allegra D tablet was developed. The chief benefit of the present method is the minimal sample preparation, as the procedure is only filtering through pore syringe filter. Two drugs (pseudoephedrine hydrochloride, fexofenadine) were separated on a C$_{18}$ column and analyzed by high performance liquid chromatography (HPLC). The method had a chromatographic run time of 8.0 min. 1 ml of pseudoephedrine hydrochloride solution (1 mg/ml) was filtered through 0.22 um pore syringe filter. 50 ul of filtering solution was injected to HPLC pump and we knew the retention time (1.85 min) of separating of pseudoephedrine hydrochloride using UV detector at 280 nm. We used C$_{18}$ column (4.6 mm${\times}$250 mm), mobile phase solution (<0.05 mol/L NaH$_2$PO$_4$, 2 ml/L H$_3$PO$_4$>/CH$_3$CN / sodium dodesyl sulfate = 60 ml / 40 ml / 1 g). We separated psedoephedrine hydrochloride at run time of 1.85 min from Allegra D tablet solution (1 mg/ml) filtered through 0.22 um pore syringe filter using UV detector at 280 nm. Flow rate was set at 1.0 ml/min and the column temperature was set at 40$^{\circ}C$. Psedoephedrine hydrochloride solution (1 mg/ml) separated from Allegra D tablet was filtered through 0.22 um pore syringe filter and injected 50 ul. We confirmed the peak of psedoephedrine hydrochloride at same retention time and the separating solution was freeze-dried. In conclusion, A simple isocratic reverse-phase HPLC method has been developed that provides excellent separation of pseudoephedrine from Allegra D tablet.

수직 평판 요소의 수중동요 근사해와 설계 적용 (Approximate Solution of Vertical Wave Board Oscillating in Submerged Condition and Its Design Application)

  • 오정근;김주열;김효철;권종오;류재문
    • 대한조선학회논문집
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    • 제55권6호
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    • pp.527-534
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    • 2018
  • The segment of the piston type wave board has been expressed as a submerged vertical line segment in the two dimensional wave flume. Either end of vertical line segment representing wave board could be located in fluid domain from free surface to the bottom of the flume. Naturally the segment could be extended from the bottom to the free surface of the flume. It is assumed that the piston motion of the wave board could be defined by the sinusoidal oscillation in horizontal direction. Simplified analytic solution of the submerged segment of wave board has been derived through the first order perturbation method in water of finite depth. The analytic solution has been utilized in expressing the wave generated by the piston type wave board installed on the upper or lower half of the flume. The wave form derived by the analytic solution have been compared with the wave profile obtained through the CFD calculation for the either of the above cases. It is appeared that the wave length and the wave height are coincided each other between analytic solution and CFD calculation. However the wave form obtained by CFD calculations are more closer to real wave form than those from analytic calculation. It is appeared that the linear solutions could be not only superposed by segment but also integrated by finite elements without limitation. Finally it is proven that the wave generated by the oscillation of flap type wave board could be derived by integrating the wave generated by the sinusoidal motion of the finite segment of the piston type wave board.

Analytical Solutions for the Inelastic Lateral-Torsional Buckling of I-Beams Under Pure Bending via Plate-Beam Theory

  • Zhang, Wenfu;Gardner, Leroy;Wadee, M. Ahmer;Zhang, Minghao
    • 국제강구조저널
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    • 제18권4호
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    • pp.1440-1463
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    • 2018
  • The Wagner coefficient is a key parameter used to describe the inelastic lateral-torsional buckling (LTB) behaviour of the I-beam, since even for a doubly-symmetric I-section with residual stress, it becomes a monosymmetric I-section due to the characteristics of the non-symmetrical distribution of plastic regions. However, so far no theoretical derivation on the energy equation and Wagner's coefficient have been presented due to the limitation of Vlasov's buckling theory. In order to simplify the nonlinear analysis and calculation, this paper presents a simplified mechanical model and an analytical solution for doubly-symmetric I-beams under pure bending, in which residual stresses and yielding are taken into account. According to the plate-beam theory proposed by the lead author, the energy equation for the inelastic LTB of an I-beam is derived in detail, using only the Euler-Bernoulli beam model and the Kirchhoff-plate model. In this derivation, the concept of the instantaneous shear centre is used and its position can be determined naturally by the condition that the coefficient of the cross-term in the strain energy should be zero; formulae for both the critical moment and the corresponding critical beam length are proposed based upon the analytical buckling equation. An analytical formula of the Wagner coefficient is obtained and the validity of Wagner hypothesis is reconfirmed. Finally, the accuracy of the analytical solution is verified by a FEM solution based upon a bi-modulus model of I-beams. It is found that the critical moments given by the analytical solution almost is identical to those given by Trahair's formulae, and hence the analytical solution can be used as a benchmark to verify the results obtained by other numerical algorithms for inelastic LTB behaviour.

지진하중을 받는 다층 건물에 설치된 마찰감쇠기 설계 (Design of Friction Dampers installed at a Multi-Story Building under Seismic Load)

  • 성지영;민경원
    • 한국전산구조공학회논문집
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    • 제24권4호
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    • pp.457-462
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    • 2011
  • 본 논문은 지진응답을 제어하기 위해 다층 건물에 설치된 마찰감쇠기의 간단한 설계절차를 제안하였다. 마찰감쇠기는 비선형성이 강하므로 마찰감쇠기가 설치된 건물의 제어효과를 파악하는 것은 어렵다. 마찰감쇠기의 제어력은 층간속도에 영향을 받으므로, 인접한 모드가 서로 연계된다. 따라서 응답은 공진일 때 안정상태응답으로 가정하여 유도하였다. 첫째로 지진하중에 대한 정해응답을 구하는 것은 불가능하므로 조화가진을 받을 때의 근사해를 유도하였다. 둘째, 다층 건물을 단자유도로 변환하기 위해서 모드해석이 수행되었다. 셋째, 근사해를 이용하여 등가감쇠비를 유도하였다. 그리고 등가감쇠비를 이용하여 응답감소계수를 제안하였다. 마지막으로, 마찰감쇠기의 마찰력을 응답감소계수에 의해 설계하고 설계된 감쇠기를 7개의 지진파를 통해 검증하였다. 비선형해석 결과가 제안된 절차의 유효성을 확인하였다.

온도분포 해석 해와 유한요소법을 이용한 대형 강판의 용접변형 해석 (Analysis of Welding Distortion of Large Steel Plate by Using Analytical Solution of Temperature Distribution and Finite Element Method)

  • 홍성빈;배강열;양영수
    • Journal of Welding and Joining
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    • 제32권4호
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    • pp.69-74
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    • 2014
  • Welding distortions of large steel structures had mainly been estimated with some simplified formula obtained by lots of experience and numerical analyses for small steel structures. However, the large structures would have different characteristics of distortion with welding because of their own stiffness coming from the size itself. Therefore, in order to find some measures for preventing welding distortion of large structure, it is requite in advance to precisely analysis thermal stress and distortion during welding of the structure. Numerical analysis for larger structure has been known to take large amount of calculation time and have a poor convergency problem during the thermo-elasto-plastic calculation. In this study, a hybrid method is proposed to analysis the thermal stress and distortion of a large steel plate with the finite element analysis by incorporating with temperature distribution of the plate calculated by an analytical solution. The proposed method revealed that the thermo-mechanical analysis for welding of the large structure could be performed with a good convergence and produced precise results with much reduced time consumption.

Carboxymethyl-chitin 제조공정의 단순화 (The Novel Synthesis of Carboxymethyl-chitin by a New Process)

  • 한상문;안병제;김용우;김용범;유국현;이승진
    • 대한화학회지
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    • 제45권4호
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    • pp.334-340
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    • 2001
  • CM-chitin은 화장품 분야에서 보습제, 유연제, 피부관리를 위한 세포활성제 및 미백제등으로 다양하게 이용되고 있는 것으로 알려져 있다. 본 연구에서는 CM-chitin제조공정을 기존의 방법에서 몇가지 절차를 배재하여 단순화 하였다. Chitin분말을 NaOH와 혼합하고 16hrs 동안 동결 및 교반을 통해 ClCH2COONa와 isopropyl alcohol혼합액을 첨가하였다. 그 결과 높은 치환도의 CM-chitin을 얻을 수 있었다.

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