• 제목/요약/키워드: Higher-order Method

검색결과 3,930건 처리시간 0.042초

Advanced 1D Structural Models for Flutter Analysis of Lifting Surfaces

  • Petrolo, Marco
    • International Journal of Aeronautical and Space Sciences
    • /
    • 제13권2호
    • /
    • pp.199-209
    • /
    • 2012
  • An advanced aeroelastic formulation for flutter analyses is presented in this paper. Refined 1D structural models were coupled with the doublet lattice method, and the g-method was used for flutter analyses. Structural models were developed in the framework of the Carrera Unified Formulation (CUF). Higher-order 1D structural models were obtained by using Taylor-like expansions of the cross-section displacement field of the structure. The order (N) of the expansion was considered as a free parameter since it can be arbitrarily chosen as an input of the analysis. Convergence studies on the order of the structural model can be straightforwardly conducted in order to establish the proper 1D structural model for a given problem. Flutter analyses were conducted on several wing configurations and the results were compared to those from literature. Results show the enhanced capabilities of CUF 1D in dealing with the flutter analysis of typical wing structures with high accuracy and low computational costs.

Identification of Polymerization Reactor Using Third Order Volterra Kernel Model

  • Numata, Motoki;Kashiwagi, Hiroshi;Harada, Hiroshi
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2001년도 ICCAS
    • /
    • pp.26.2-26
    • /
    • 2001
  • It is known that Volterra kernel model can represent a wide variety of nonlinear chemical processes. But almost all Volterra kernel models which appeared in the literature are up to second order, because it was difficult to measure higher order Volterra kernels. Kashiwagi has recently shown a method for measuring Volterra kernels up to third order using pseudorandom M-sequence signals. In this paper, the authors verified the applicability of this method for chemical processes using polymerization reactor simulation. Also, the authors have recently proposed a practical Identification method for chemical processes, which is based on the combination of off-line nonlinear identification and on-line linear identification. This method is also applied to the identification of polymerization reactor, and we obtained ...

  • PDF

생체모방 로봇을 위한 비선형 항법 필터 (A Nonlinear Navigation Filter for Biomimetic Robot)

  • 성상만
    • 제어로봇시스템학회논문지
    • /
    • 제18권3호
    • /
    • pp.175-180
    • /
    • 2012
  • A nonlinear navigation filter for biomimetic robot using analytic approximation of mean and covariance of state variable is proposed. The approximations are performed at the time update step in the filter structure. The mean is approximated to the 3rd order of Taylor's series expansion of true mean and the covariance is approximated to the 3rd order either. The famous EKF is a nonlinear filtering method approximating the mean to 1st order and the covariance to the 3rd order. The UKF approximate them to the higher orders by numerical method. The proposed method derived a analytical approximation of them for navigation system and therefore don't need so called sigma point transformation in UKF. The simulation results show that the proposed method can be a good alternative of UKF in the systems which require less computational burden.

동적문제 해석을 위한 사다리꼴 시간적분법의 일반화 (A Generalizatoion of the Trpezoidal Rule for Dynamic Analysis)

  • 조진연;김승조
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 1997년도 춘계학술대회논문집; 경주코오롱호텔; 22-23 May 1997
    • /
    • pp.110-115
    • /
    • 1997
  • In this work, the constant average acceleration, which is a fundamental feature of the trapezoidal rule, is investigated and generalized. Using the generalization of average acceleration concept, a higher order accurate and unconditionally stable time-integration method is developed. The linear approximate of the present methods is exactly the same as the famous trapezoidal rule. To observe the accuracy and stability of the method, several numerical tests are performed and the results are compared with the results from the trapezoidal rule and the exact solution. From the numerical tests, it has been known that the present method has a higher order accuracy and unconditional stability.

  • PDF

등각사상에 의한 대칭 스트립 전송선의 고차모드 차단주파수의 변분적 계산 (Variational Calculations for Higher Order Mode Cut-off Frequencies of Symmetrical Striplines by the Conformal Mapping)

  • 양현규;이상설
    • 한국전자파학회논문지
    • /
    • 제13권2호
    • /
    • pp.170-175
    • /
    • 2002
  • 등각사상이 결합된 변분적 유한요소법을 이용하여 대칭 스트립 전송선의 고차모드 차단주파수를 계산한다. 등각사상은 스트립 전송선의 무한영역을 적절한 유한영역으로 변환하는데 사용된다. 변환된 유한영역에 대한 변분 방정식을 유도하고 유한요소법으로 그 해를 구하여 차단주파수를 계산한다. 다른 해석법에 의한 결과와 비교하여 이 해석법이 무한영역이 포함된 전송선의 고차모드 차단주파수 계산에 적합함을 확인한다.

Nonlinear stability of bio-inspired composite beams with higher order shear theory

  • Nazira Mohamed;Salwa A. Mohamed;Alaa A. Abdelrhmaan;Mohamed A. Eltaher
    • Steel and Composite Structures
    • /
    • 제46권6호
    • /
    • pp.759-772
    • /
    • 2023
  • This manuscript presents a comprehensive mathematical model to investigate buckling stability and postbuckling response of bio-inspired composite beams with helicoidal orientations. The higher order shear deformation theory as well as the Timoshenko beam theories are exploited to include the shear influence. The equilibrium nonlinear integro-differential equations of helicoidal composite beams are derived in detail using the energy conservation principle. Differential integral quadrature method (DIQM) is employed to discretize the nonlinear system of differential equations and solve them via the Newton iterative method then obtain the response of helicoidal composite beam. Numerical calculations are carried out to check the validity of the present solution methodology and to quantify the effects of helicoidal rotation angle, elastic foundation constants, beam theories, geometric and material properties on buckling, postbuckling of bio-inspired helicoidal composite beams. The developed model can be employed in design and analysis of curved helicoidal composite beam used in aerospace and naval structures.

대류 및 소음 해석을 위한 정확한 다층 수치 기법 (Accurate Multi-level Schemes for Advection and Acoustics)

  • 김철완
    • 한국전산유체공학회지
    • /
    • 제8권3호
    • /
    • pp.21-31
    • /
    • 2003
  • A non-dissipative and very accurate one-dimensional upwind leapfrog method is extended to higher-order and multi-dimensional advection and acoustic equations. The higher-order versions are developed by extending the stencils in space and time. The schemes are then successfully applied to the classical test cases for advection and acoustics.

Capillary-Gravity waves on the Interface of a Two Layer Fluid-Derivation of K-dV Equation with Higher Order Terms

  • Choi, Jeongwhan
    • 충청수학회지
    • /
    • 제5권1호
    • /
    • pp.151-157
    • /
    • 1992
  • The objective of this paper is to study two dimensional waves on the interface between two immiscible, invicid and incompressible fluid bounded by two rigid varing boundaries when gravity and surface tension appear. By using unfied asymptotic method, a K-dV equation with higher order terms from which many model equations for the fluid domain can be obtained, is derived.

  • PDF

CLASSES OF HIGHER ORDER CONVERGENT ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS

  • FAROOQ AHMED SHAH
    • Journal of Applied and Pure Mathematics
    • /
    • 제6권3_4호
    • /
    • pp.177-189
    • /
    • 2024
  • In this paper, we suggest and analyze new higher order classes of iterative methods for solving nonlinear equations by using variational iteration technique. We present several examples to illustrate the efficiency of the proposed methods. Comparison with other similar methods is also given. New methods can be considered as an alternative of the existing methods. This technique can be used to suggest a wide class of new iterative methods for solving nonlinear equations.

대기중의 중금속 분석을 위한 여지의 전처리 방법에 관한 연구 (The Study on Pre-treatment Method of Filter for Analysing the Heavy Metals in Air Quality)

  • 김광래;이상칠;어수미;김민영;신재영;이재영
    • 한국환경보건학회:학술대회논문집
    • /
    • 한국환경보건학회 2002년도 춘계 국제 학술대회
    • /
    • pp.16-19
    • /
    • 2002
  • This study was carried out to establish the standardized analysis method in order to decide accurate concentrations of hazardous metals in the air. Acid decomposition method used usually was compared to microwave digestion method. Comparing results of tested background concentration in blank filter, we found that the magnitude of element concentration was Na, Ca, K, Mg, Al and Ba by order. The element concentrations of Glass fiber filter were higher than those of Quartz fiber filter, and the number of undetected components in Glass fiber filter was lower than that in Quartz fiber filter. Thus it is supposed that the concentration of background elements in Glass fiber filter was higher than those in Quartz fiber filter The extraction rate of microwave digestion method was superior to those of acid decomposition method during the test of blank filter as well as SRM of NIST. In case of the SRM of NIST, the average extraction efficiency of acid decomposition Method and microwave pretreatment is 53.8∼82.7%, 81.3∼97.1%, respectively. This result might be caused by the closed system of Microwave, which make outflow and loss of components less. Also microwave digestion method has other merits such as the minimization of time, reagents, and contamination. Furthermore, if the extraction condition, extraction time and used acids are optimized, the better results will be represented.

  • PDF