Cellular structures are lightweight structures with appropriate stiffness properties. Usually these cells are in the form of a honeycomb but various cell geometries can be considered as well, for special applications. Because of the repetitive nature of the cellular array the core can be considered as a homogeneous but anisotropic medium. In present study by changing in the number and positions of nodes, the number of cell walls and changing in size of RVE (Representative Volume Element), and also using homogenization method, the shear components of the elasticity tensor are obtained for heterogeneous geometries by assuming unconstraint core. The results show that the effect of these changes in geometry, increase the quality of shear stiffness and weight reduction for some core geometries of sandwich panels that have not been evaluated yet. Soar effect of rearrangement of walls and their located for transverse shear applications is the main characteristic of present study that results obtained have confirmed these claims. Advantage of the present study is providing new pattern applied for sandwich panels core those shear properties that have higher priority..