Metaconcrete is a newly manmade concrete where traditional aggregates are partially replaced by resonant aggregates. The metaconcrete slab can attenuate vibration in the specific frequency bandgap which created locally To enhance attenuation performance of slab, dual-resonant aggregate was designed and embedded into slab. Firstly, mass-in-(mass-in-mass) analytical model used to predict characte...

in this paper the concept of homothetic dual exponential motions in d3 is discussed and theirvelocities obtained. due to the way in which the matter is presented, the paper gives some formula and factsabout dual exponential motions which are not generally known

in this paper, two new hamilton operators are defined and the algebra of dual split quaternions isdeveloped using these operators. it is shown that finite screw motions in minkowski 3-space can be expressedby dual-number ( 3×3 ) matrices in dual lorentzian space. moreover, by means of hamilton operators, screwmotion is obtained in 3-dimensional minkowski space 3r1