scholarly journals Existence and construction of shifted lattice rules with an arbitrary number of points and bounded weighted star discrepancy for general decreasing weights

2011 ◽  
Vol 27 (5) ◽  
pp. 449-465 ◽  
Author(s):  
Vasile Sinescu ◽  
Pierre L’Ecuyer
Keyword(s):  
Arbitrary Number ◽  
Lattice Rules ◽  
Star Discrepancy

scholarly journals Constructions of general polynomial lattice rules based on the weighted star discrepancy

2007 ◽  
Vol 13 (4) ◽  
pp. 1045-1070 ◽  
Author(s):  
Josef Dick ◽  
Peter Kritzer ◽  
Gunther Leobacher ◽  
Friedrich Pillichshammer
Keyword(s):  
Lattice Rules ◽  
General Polynomial ◽  
Star Discrepancy

scholarly journals Good lattice rules based on the general weighted star discrepancy

2006 ◽  
Vol 76 (258) ◽  
pp. 989-1004 ◽  
Author(s):  
Vasile Sinescu ◽  
Stephen Joe
Keyword(s):  
Lattice Rules ◽  
Good Lattice ◽  
Star Discrepancy

Kinematic analysis and deformation of a planar lattice with an arbitrary number of panels

2020 ◽  
pp. 15-19
Author(s):  
M.N. Kirsanov
Keyword(s):  
Exact Solution ◽  
Kinematic Analysis ◽  
Arbitrary Number ◽  
Design Parameters ◽  
Lattice Deformation ◽  
Planar Lattice ◽  
Force Loading

Formulae are obtained for calculating the deformations of a statically determinate lattice under the action of two types of loads in its plane, depending on the number of panels located along one side of the lattice. Two options for fixing the lattice are analyzed. Cases of kinematic variability of the structure are found. The distribution of forces in the rods of the lattice is shown. The dependences of the force loading of some rods on the design parameters are obtained. Keywords: truss, lattice, deformation, exact solution, deflection, induction, Maple system. [email protected]

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