• Title/Summary/Keyword: inverse approach method

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A Diffraction Transfer Function Approach to the Calculation of the Transient Field of Acoustic Radiators

  • Lee, Chan-Kil
    • ETRI Journal
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    • v.16 no.1
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    • pp.1-15
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    • 1994
  • A computationally-efficient approach to the calculation of the transient field of an acoustic radiator was developed. With this approach, a planar or curved source, radiating either continuous or pulsed waves, is divided into a finite number of shifted and/or rotated versions of an incremental source such that the Fraunhofer approximation holds at each field point. The acoustic field from the incremental source is given by a 2-D spatial Fourier transform. The diffraction transfer function of the entire source can be expressed as a sum of Fraunhofer diffraction pattern of the incremental sources with the appropriate coordinate transformations for the particular geometry of the radiator. For a given spectrum of radiator velocity, the transient field can be computed directly in the frequency domain using the diffraction transfer function. To determine the accuracy of the proposed approach, the impulse response was derived using the inverse Fourier transform. The results obtained agree well with published data obtained using the impulse response approach. The computational efficiency of the proposed method compares favorably to those of the point source method and the impulse response approach.

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Extraction of Initial Conditions For a Recursive Numerical Inverse z-Transform Method (차분방정식에 의한 역 z변환 계산을 위한 초기 조건의 추출)

  • Lee, Jae-Seok;Jeong, Tae-Sang
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.8
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    • pp.368-373
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    • 2002
  • The inverse z-transform of a z-domain expression of a sequence can be Performed in many different methods among which the recursive computational method is based on the difference equation. In applying this method, a few initial values of the sequence should be obtained separately. Although the existing method generates the right initial values of the sequence, its derivation and justification are not theoretically in view of the definition of z-transform and its shift theorems. In this paper a general approach for formulating a difference equation and for obtaining required initial values of a sequence is proposed, which completely complies to the definition of the z-transform and an interpretation of the validity of the existing method which is theoretically incorrect.

Dynamic characterization of 3D printed lightweight structures

  • Refat, Mohamed;Zappino, Enrico;Sanchez-Majano, Alberto Racionero;Pagani, Alfonso
    • Advances in aircraft and spacecraft science
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    • v.9 no.4
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    • pp.301-318
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    • 2022
  • This paper presents the free vibration analysis of 3D printed sandwich beams by using high-order theories based on the Carrera Unified Formulation (CUF). In particular, the component-wise (CW) approach is adopted to achieve a high fidelity model of the printed part. The present model has been used to build an accurate database for collecting first natural frequency of the beams, then predicting Young's modulus based on an inverse problem formulation. The database is built from a set of randomly generated material properties of various values of modulus of elasticity. The inverse problem then allows finding the elastic modulus of the input parameters starting from the information on the required set of the output achieved experimentally. The natural frequencies evaluated during the experimental test acquired using a Digital Image Correlation method have been compared with the results obtained by the means of CUF-CW model. The results obtained from the free-vibration analysis of the FDM beams, performed by higher-order one-dimensional models contained in CUF, are compared with ABAQUS results both first five natural frequency and degree of freedoms. The results have shown that the proposed 1D approach can provide 3D accuracy, in terms of free vibration analysis of FDM printed sandwich beams with a significant reduction in the computational costs.

Genetic Algorithm Approach to Image Reconstruction in Electrical Impedance Tomography

  • Kim, Ho-Chan;Boo, Chang-Jin;Lee, Yoon-Joon;Kang, Chang-Ik
    • KIEE International Transactions on Electrophysics and Applications
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    • v.4C no.3
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    • pp.123-128
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    • 2004
  • In electrical impedance tomography (EIT), the internal resistivity distribution of the unknown object is computed using the boundary voltage data induced by different current patterns using various reconstruction algorithms. This paper presents a new image reconstruction algorithm based on the genetic algorithm (GA) via a two-step approach for the solution of the EIT inverse problem, in particular for the reconstruction of "static" images. The computer simulation for the 32 channels synthetic data shows that the spatial resolution of reconstructed images in the proposed scheme is improved compared to that of the modified Newton-Raphson algorithm at the expense of an increased computational burden.rden.

Inverse Scattering of Two-Dimensional Objects Using Linear Sampling Method and Adjoint Sensitivity Analysis

  • Eskandari, Ahmadreza;Eskandari, Mohammad Reza
    • Journal of Electrical Engineering and Technology
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    • v.10 no.1
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    • pp.308-313
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    • 2015
  • This paper describes a technique for complete identification of a two-dimensional scattering object and multiple objects immersed in air using microwaves where the scatterers are assumed to be a homogenous dielectric medium. The employed technique consists of initially retrieving the shape and position of the scattering object using a linear sampling method and then determining the electric permittivity and conductivity of the scatterer using adjoint sensitivity analysis. Incident waves are assumed to be TM (Transverse Magnetic) plane waves. This inversion algorithm results in high computational speed and efficiency, and it can be generalized for any scatterer structure. Also, this method is robust with respect to noise. The numerical results clearly show that this hybrid approach provides accurate reconstructions of various objects.

New Continuous Variable Space Optimization Methodology for the Inverse Kinematics of Binary Manipulators Consisting of Numerous Modules (수많은 모듈로 구성된 이진 매니플레이터 역기구 설계를 위한 연속변수공간 최적화 신기법 연구)

  • Jang Gang-Won;Nam Sang Jun;Kim Yoon Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.10
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    • pp.1574-1582
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    • 2004
  • Binary manipulators have recently received much attention due to hyper-redundancy, light weight, good controllability and high reliability. The precise positioning of the manipulator end-effecter requires the use of many modules, which results in a high-dimensional workspace. When the workspace dimension is large, existing inverse kinematics methods such as the Ebert-Uphoff algorithm may require impractically large memory size in determining the binary positions of all actuators. To overcome this limitation, we propose a new inverse kinematics algorithm: the inverse kinematics problem is formulated as an optimization problem using real-valued design variables, The key procedure in this approach is to transform the integer-variable optimization problem to a real-variable optimization problem and to push the real-valued design variables as closely as possible to the permissible binary values. Since the actual optimization is performed in real-valued design variables, the design sensitivity becomes readily available, and the optimization method becomes extremely efficient. Because the proposed formulation is quite general, other design considerations such as operation power minimization can be easily considered.

Design of Robust Fuzzy Controllers via Inverse Optimal Approach (역최적화 방법을 이용한 강인한 퍼지 제어기의 설계)

  • 곽기호;임재환;박주영
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.6
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    • pp.477-486
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    • 2001
  • In this paper , we study the problem of designing TS(Takagi-Sugeno) fuzzy controllers for the systems that can be approximated or represented by the TS fuzzy model. The main strategy used in this paper is the inverse optimal approach, in which the cost function is determined later than the Lyapunov function and its corresponding control input satisfying the design requirements such as stability, decay rate, and robustness against uncertainty. This approach is useful because it yields controllers satisfying the inherent robustness of optimal controllers as well as the considered design goals. The design procedures established in this paper are all in the from of solving LMIs(Iinear matrix inequalities). Since the LMIs arising in the design procedures can be solved within a given tolerance by the interior point methods. the design method of the paper are efficient in practice. The applicability of the proposed design procedures is demonstrated by design examples.

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Damage Detection of Truss Structures Using Extended Projection Filter (확장사영필터를 이용한 트러스 구조물의 손상 검출)

  • Suh, Ill-Gyo;Lim, Eun-Ji
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.9 no.4
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    • pp.195-201
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    • 2005
  • In this paper, a study of damage measures for truss structures using the Extended Projection filter theory is presented. Many researchers are interested in inverse problems and one of solution procedures for inverse problems that are very effective is the approach using the filtering algorithm in conjunction with numerical solution methods. In this paper, the projection filtering in conjunction with structural analysis is applied to the identification of damages in truss structures. And, the effectiveness of proposed method is verified through the numerical examples of a free vibrating structure.

The Design of Adaptive Controller for Nonminimum-Phase System using Approximate Inverse System (근사화 inverse 시스템을 사용한 비최소 위상플랜트의 적응제어기 설계)

  • Oh, Hyun-Cheol;Kim, Yoon-Sang;Jwa, Jong-Cheol;Lee, Jae-Chun;Kim, Jae-Il;Ahn, Doo-Soo
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.575-577
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    • 1997
  • This paper presents a approach to the adaptive control of nonminimum-phase continuous-time systems. It is shown that pole-zero cancellations can be avoided by using approximate inverse systems. The computer simulation results are presented to illustrate the effectiveness of the proposed method.

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Study of Forming Analyzing Auto-body panel by Using One-step Finite Element Method (One-Step 유한요소법을 이용한 차체판넬 성형해석에 관한 연구)

  • Jung, D.W.;Lee, C.H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2006.05a
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    • pp.261-264
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    • 2006
  • Many process parameters have an effect on the auto-body panel forming process. A well-designed blank shape causes the material to flow smoothly, reduces the punch and yields a product with uniform thickness distribution. Therefore, the determination of an initial blank shape plays the important role of saving time and cost in the auto-body panel forming process. For these reasons, some approaches to estimate the initial blank shape have been implemented in this paper, the one-step approach by using a finite element inverse method will be introduced to predict the initial blank shape the developed program is applied to auto-body panel forming.

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