This paper presents a comprehensive recursive formulation of dynamic equations for multibody systems with variable-speed control moment gyroscopes. It permits any rigid or flexible body in the system to have a cluster...
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This paper presents a comprehensive recursive formulation of dynamic equations for multibody systems with variable-speed control moment gyroscopes. It permits any rigid or flexible body in the system to have a cluster of variable-speed control moment gyroscopes in a generic configuration as actuators. The detailed dynamics of the actuators is taken into consideration to capture its interactions with the flexibilities of the structures. The recursive algorithm is obtained through analyzing the kinematics and dynamics between two adjacent bodies, both of which can be rigid or flexible, or one of which is rigid and the other is flexible. The orthonormal complement of the projection matrix of the joint is adopted to express the constraint equations for structural loops uniformly. Numerical results of an illustrative example are presented to show the accuracy and efficiency of the proposed method by comparing it with a nonrecursive formulation.
In this article, we consider the problem of estimating diffraction attenuation from the approximation of terrain using a multiple bridged knife-edge model. This model can be considered as a generalization of the well-...
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In this article, we consider the problem of estimating diffraction attenuation from the approximation of terrain using a multiple bridged knife-edge model. This model can be considered as a generalization of the well-known multiple knife-edge (MKE) one where spaces between knife-edges are bridged by reflecting surfaces. A series-based-standard solution is presented in the literature but suffers from its very high computational complexity. We, thus, propose to generalize the recursive Vogler algorithm developed for the MKE model to tackle this problem. To reduce complexity, the proposed algorithm exploits the recursive form to avoid repeated calculations of the existing solution. Moreover, we provide a complexity analysis of both the standard algorithm and the proposed algorithm based on the number of computed integrals. Both theoretical and numerical results show that our proposed algorithm is faster than the original one while having identical accuracy, hence proving the effectiveness of our solution.
A recursive algorithm based on the reverberation matrix method(RMM) is presented and used to exactly analyze the free vibration of multi-span continuous rectangular Kirchhoff plates with two opposite edges simply *** ...
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A recursive algorithm based on the reverberation matrix method(RMM) is presented and used to exactly analyze the free vibration of multi-span continuous rectangular Kirchhoff plates with two opposite edges simply *** with the traditional RMM,this algorithm not only exhibits numerical stable in the high frequency range or/and for long span,also reduces the size for the data storage,especially for plates with many *** modifying the iterative formula,an improved recursive algorithm can be *** examples are given to demonstrate the effectiveness and efficiency of the proposed recursive *** method may be applied to calculate the dispersive characteristic of acoustic waves in laminated plate as well.
Abstract:Two-dimensional material cutting is widely applied in manufacturing. With regard to the problem of unconstrained two-dimensional steel cutting-stock, this paper puts forward the -shaped pattern, and obtains t...
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ISBN:
(纸本)9781450395687
Abstract:Two-dimensional material cutting is widely applied in manufacturing. With regard to the problem of unconstrained two-dimensional steel cutting-stock, this paper puts forward the -shaped pattern, and obtains the optimal cutting method for each raw material by combining knapsack problem with recursive algorithm, and then establishes an integer programming model, and proceeds with cutting methods with minimized raw materials. Furthermore, through the combined use of recursion and enumeration, the cutting method with the minimum cuts and tool changes when the steel yield reaches the maximum is obtained, thereby greatly reducing labor costs. This research is of important significance for improving the utilization of raw materials as well as cost controlling for concerned businesses.
Different algorithms exist that can be applied to the calculation of the effects of true coincidence summing in gamma-ray spectrometry. Some of these, however, are not capable of reproducing the count rates in all the...
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Different algorithms exist that can be applied to the calculation of the effects of true coincidence summing in gamma-ray spectrometry. Some of these, however, are not capable of reproducing the count rates in all the pure sum peaks that a spectrum may contain. A recursive, easy-to-implement deterministic algorithm has been developed that overcomes this shortcoming. (c) 2011 Elsevier Ltd. All rights reserved.
Multi-dimension linked lists is a new data structure,which has powerful function and well visiting *** can be applied in scientifc computing analysis,image processing,database index and so *** the development of compu...
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Multi-dimension linked lists is a new data structure,which has powerful function and well visiting *** can be applied in scientifc computing analysis,image processing,database index and so *** the development of computer science,multi-dimension linked lists may be applied in other rectangular coordinate system's spatial expression and multi-dimension linked lists recursive algorithm will give us very large *** the research of multi-dimension linked lists in this paper,it would be given out of the mathematical model and recursive algorithm of multi-dimension linked lists.
With the development and popularization of smart power grid, the traditional on-site topological relationship verification method can not meet the requirements of information and intelligence of distribution network. ...
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ISBN:
(纸本)9781450396806
With the development and popularization of smart power grid, the traditional on-site topological relationship verification method can not meet the requirements of information and intelligence of distribution network. Therefore, it is necessary to explore an intelligent remote topological relationship calibration method based on big data analysis by relying on electricity consumption information acquisition system and massive electricity consumption data. This paper presents a topology membership analysis method based on current recursion. Based on the current effective value data measured synchronically and the law of flow conservation, the topology membership model of distribution network is constructed. The recursive algorithm has the function of data verification, which can automatically select the data group that meets the requirements. With the continuous input of data groups, the topological membership degree will gradually update, and finally get stable topological membership results. After that, the threshold value is set to further distinguish the membership relationship and determine the final membership relationship. The practical results show that the proposed method still has a high accuracy when only the current data is needed without other detailed topological parameters, and the accuracy of the algorithm can be improved by setting thresholds and continuously inputting data sets, which has a high engineering applicability.
In this Letter an efficient recursive update algorithm for least squares support vector machines (LSSVMs) is developed. Using the previous solution and some matrix equations, the algorithm completely avoids training t...
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In this Letter an efficient recursive update algorithm for least squares support vector machines (LSSVMs) is developed. Using the previous solution and some matrix equations, the algorithm completely avoids training the LSSVM all over again whenever new training sample is available. The gain in speed using the recursive update algorithm is illustrated on four data sets from UCI repository: the Statlog Australian credit, the Pima Indians diabetes, the Wisconsin breast cancer, and the adult income data sets.
作者：
BarItzhack, IYNASA
GODDARD SPACE FLIGHT CTRFLIGHT MECH BRANCHGREENBELTMD 20771
QUEST is a well-known algorithm for least squares fitting of the attitude quaternion of a spacecraft to vector measurements. QUEST, however, is a single time point (single frame) batch algorithm;thus, measurements tha...
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QUEST is a well-known algorithm for least squares fitting of the attitude quaternion of a spacecraft to vector measurements. QUEST, however, is a single time point (single frame) batch algorithm;thus, measurements that were taken at previous time points are discarded, The algorithm presented provides a recursive routine, which considers all past measurements. The algorithm is based on the fact that the so-called K matrix, one of whose eigenvectors is the sought quaternion, is linearly related to the measured vector pairs and on the ability to propagate K, The extraction of the appropriate eigenvector is done according to the classical QUEST algorithm, This stage, however, can be eliminated, and the computation simplified, if a standard eigenvalue-eigenvector solver algorithm is used.
In this paper we introduce a so called C-Matrix w.r.t a rational interpolation problem and study the relationship between the unattainable points and C-Matrix. Finally, we present a recursive algorithm on rational int...
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In this paper we introduce a so called C-Matrix w.r.t a rational interpolation problem and study the relationship between the unattainable points and C-Matrix. Finally, we present a recursive algorithm on rational interpolation.
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