3 edition of Implementation of the block-Krylov boundary flexibilty method of component synthesis found in the catalog.
Implementation of the block-Krylov boundary flexibilty method of component synthesis
Kelly S. Carney
by National Aeronautics and Space Administration, National Technical Information Service, distributor in [Washington, DC, Springfield, Va
Written in English
|Statement||Kelly S. Carney, Ayman A. Abdallah, and Arthur A. Hucklebridge.|
|Series||NASA technical memorandum -- 106065., NASA technical memorandum -- 106065.|
|Contributions||Abdallah, Ayman A., Hucklebridge, Arthur A., United States. National Aeronautics and Space Administration.|
|The Physical Object|
A novel component mode synthesis method for dynamic analysis of structures is presented. It is based on free interface vibration modes and residual flexibility components. As the San Francisco Bay Area’s only oceanfront resort, the timeless estate provides guests with a relaxed yet refined. He is a three-time winner of the Ralph J. dutch oven cookbook PDF. Improvements in block-Krylov Ritz vectors and the boundary flexibility method of component synthesis (OCoLC) Material Type.
The aim of the paper is to compile and compare basic theoretical facts on Krylov subspaces and block Krylov subspaces. Many Krylov (sub)space methods for solving a linear system Ax = b have the property that in exact computer arithmetic the true solution is found after ν iterations, where ν is the dimension of the largest Krylov subspace generated by A from r 0, the residual of the . It consists of using block Krylov methods to simultaneously perform the minimization for all members of the ensemble, instead of performing each minimization separately. We develop preconditioned block Krylov versions of the Full Orthogonal Method and of the Lanczos algorithm in both primal and dual space.
Limited Memory Block Krylov Subspace Optimization for Computing Dominant Singular Value Decompositions Xin Liu Zaiwen Weny Yin Zhangz Ma Abstract In many data-intensive applications, the use of principal component analysis (PCA) and other related techniques is ubiquitous for dimension reduction, data mining or other transformational. $\begingroup$ Since a well implemented block Krylov-space method uses the same Krylov space for all vectors, you should expect your total number of matrix-vector multiplications to drop considerably. So, it is worthwhile, but like Jack I am not aware of any. $\endgroup$ – Guido Kanschat Aug 1 '13 at
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A component representation of the I0 element beam was created using the boundary flexibility method with block-Krylov iteration.
The fLxedinterface approach, with two Krylov blocks and constraint. A method of dynamic substructuring is presented which utilizes a set of static Ritz vectors as a replacement for normal eigenvectors in component mode synthesis. This set of Ritz vectors is generated in a recurrence relationship, which has the form of a block-Krylov subspace.
The initial seed to the recurrence algorithm is based on the boundary flexibility vectors of the by: 1. Get this from a library. Implementation of the block-Krylov boundary flexibilty method of component synthesis.
[Kelly S Carney; Ayman A Abdallah; Arthur A Hucklebridge; United States. National Aeronautics and Space Administration.]. Implementation of the block-Krylov boundary flexibility method of component synthesis. By Kelly S. Carney, Arthur A.
Hucklebridge and Ayman A. Abdallah. Abstract. A method of dynamic substructuring is presented which utilizes a set of static Ritz vectors as a replacement for normal eigenvectors in component mode synthesis. This set of Ritz. IMPLEMENTATION OF THE BLOCK-KRYLOV BOUNDARY FLEXIBILITY METHOD OF COMPONENT SYNTHESIS Kelly S.
Carney, Ayman A. Abdallah, Arthur A. Hucklebridge Session 2B: Optimization USING DESIGN SENSITIVITY FOR STATISTICAL RESPONSE ANALYSIS Ken Blakely OPTIMIZATION OF DAMPED STRUCTURES IN THE FREQUENCY DOMAIN. Block-Krylov component synthesis method for structural model reduction.
On a component mode synthesis method and its application to incompatible substructures. Computers & Structures, Vol.
51, No. 5 A Mode Selection Criterion Based on Flexibility Approach in Component Mode Synthesis. International audienceA new analytical method is presented for generating component shape vectors, or Ritz vectors, for use in component synthesis. Based on the concept of a block-Krylov sub space, easily derived recurrence relations generate blocks of Ritz vectors for each component.
Block-Krylov component synthesis method for structural model reduction Craig, Roy R.; Hale, Arthur L.
Abstract. Not Available. Publication: Journal of Guidance Control Dynamics. Pub Date: November DOI: / Bibcode: JGCD C full text sources. First, to solve systems of linear ODEs, we propose an implementation of the Paraexp method, based on the exponential block Krylov (EBK) method, introduced in. The EBK method is a Krylov method that approximates the exact solution of a system of nonhomogeneous linear ordinary differential equations by a projection onto a block Krylov subspace.
Abstract. In this chapter, we describe a new based block Krylov–Runge–Kutta method for solving stiff ordinary differential equations.
We transform the linear system arising in the application of Newton’s method to a nonsymmetric matrix Stein equation that will be solved by a block Krylov iterative method. The component mode transformation method: A fast implementation of fuzzy arithmetic for uncertainty management in structural dynamics.
Boundary flexibility method of component mode synthesis using static Ritz vectors. Computers & Structures, Vol. 35, No. 1 Block-Krylov component synthesis method for structural model reduction. Improvements in block-Krylov Ritz vectors and the boundary flexibility method of component synthesis (OCoLC) Online version: Carney, Kelly S.
(Kelly Scott). Improvements in block-Krylov Ritz vectors and the boundary flexibility method of component synthesis (OCoLC) Material Type: Government publication, National government.
Boundary flexibility method of component mode synthesis using static Ritz vectors. Computers & Structures, Vol. 35, No. 1 Block-Krylov component synthesis method for structural model reduction. A comparison of the Craig-Bampton and residual flexibility methods for component substructure representation.
Implementation of the block-Krylov boundary flexibility method of component synthesis is based on the boundary flexibility vectors of the component. to that of component synthesis. A variety of block Krylov subspace methods have been successfully de veloped for linear systems and matrix equations.
The application of block Krylov methods to compute matrix functions is. A group of methods called block Krylov subspace solvers were successfully used in many areas of computational science and engineering.
Their two main benefits are much larger search spaces leading to a reduction in total number of iterations and a use of block vector operations that can considerably reduce the number of matrix accesses. Block Krylov space methods (cont’d) Main reasons for using block Krylov spaces: The search space for each x(j) is much bigger, namely as big as all s Krylov spaces together.
But do these extra dimensions really help much. In some implementations, s matrix-vector products with A can be computed at once, and this is much faster than s. A class of classical methods known as the Krylov subspace methods, that include the block Arnoldi and weighted block Arnoldi, etc.
have been found to be suitable for sparse matrix computations. In this paper, we extend the idea to propose a new projection method for solving () based on weighted block Krylov subspace method. Boundary flexibility method of component mode synthesis using static Ritz vectors.
Computers & Structures, Vol. 35, No. 1 Block-Krylov component synthesis method for structural model reduction. On the implementation of connected degrees of freedom in a frontal solver. The L dependence of the efficiency of the block Krylov algorithms, in which we are most interested, should be investigated on single CPU avoiding contaminations due to the communication overhead.
The memory requirement forces the lattice size to be moderate. Our numerical tests are performed with samples of 10 statistically independent gauge field configurations on a 16 3 × 32 lattice.
Block Krylov subspace methods for the computation of structural response to turbulent wind. accounting for the correlation between the turbulence components, is combined to a linearized fluid–structure interaction model, under the quasi-steady hypothesis.
This is similar to the implementation in for Lanczos methods.to consider block Krylov methods for computing f(A)B. Others have considered block Krylov methods for f(A)B before. Lopez and Simoncini devel-oped a block Krylov method for exp(A)B so that so-called geometric properties of B are preserved, but did not undertake a convergence analysis .
Benner, Ku¨rschner, and Saak applied Krlyov and.Audio Book (CD) sold out. Harmonic Trading, Volume One: Profiting from the Natural Order of the Financial Markets Improvements In Block-krylov Ritz Vectors And The Boundary Flexibility Method Of Component Synthesis.
by National Aeronautics And Space Administr. Paperback substructuring is presented which utilizes a set of static Ritz.