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Classification and Enumeration of Matched Free Response Matrices of Linear Finite Automata 被引量:3
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作者 Dai Zongduo Ye Dingfeng Zhai Qibin Ou Haiwen (Graduate School of Academia Sinica,Beijing 100039,China) 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1997年第1期133-144,共12页
If H and G are the transfer function matrix and the free response matrix of a linear finite automaton,then G is called a free response matrix matched to H.Given H,let(H)be the set of all possible free response matrice... If H and G are the transfer function matrix and the free response matrix of a linear finite automaton,then G is called a free response matrix matched to H.Given H,let(H)be the set of all possible free response matrices matched to H.A classification and an enumeration on the set(H)are given in this paper. 展开更多
关键词 Finite automation free response matrix CLASSIFICATION ENUMERATION
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横荡激励下矩形缩比罐中的液体晃动力学
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作者 Sahaj K V Shwetha Shri Nasar T 《哈尔滨工程大学学报(英文版)》 CSCD 2023年第2期260-272,共13页
The present paper presents the sloshing oscillation behaviour and sloshing force in three different tanks of model scales of 1:86,1:57 and 1:43.The rectangular tank is mounted on shake table,to study the scale effect ... The present paper presents the sloshing oscillation behaviour and sloshing force in three different tanks of model scales of 1:86,1:57 and 1:43.The rectangular tank is mounted on shake table,to study the scale effect of sloshing with sway excited motion.The tests are carried out for the aspect ratio(hs/l,where hs liquid depth and l is the length of the tank)of 0.1625,0.325,and 0.4875 which represents 25%,50%and 75%of liquid fill levels,respectively.Seventeen excitation frequencies ranging from 0.4566 Hz to 1.9757 Hz are considered,which covers up to the fifth sloshing mode.The sloshing oscillations occurs in the longitudinal axis when subjected to sway excitations.An experimental setup is designed and devised to measure sloshing force by the concept of ballast mass.The inertia forces are measured by load cells and sloshing oscillation time histories are measured by capacitance probes.It is found that violent sloshing is experienced for 50%filled condition irrespective of scaled tanks,excitation amplitudes and excitation frequencies.The sloshing force is maximum in 1:43 scaled tank than other scaled sloshing tanks irrespective of the excitation frequency and amplitude for 50%fill level.Based on the experimental observations and analysis of results,it is concluded that proportionate volume of water and tank size decides the severity of sloshing in the partially filled tanks. 展开更多
关键词 Rectangular scaled tanks Sloshing dynamics Sloshing force Scale effects free surface response
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