The blood flow in large arteries is commonly analyzed by means of the constitutive equations. However, it is not appropriate to use constitutive equations for small arteries because of the heterogeneity of the blood. In this paper, a new method to model an erythrocyte by using beads, springs and dampers is proposed as an alternative to analyze the blood flow. The behavior of a single erythrocyte is computed under an oscillatory shear field. The real and imaginary part of dynamic viscosity, dynamic modulus and normal stress difference are discussed. The results show that the bead-spring-damper model appropriately can express the dynamic characteristics of blood. It is therefore considered that the bead-spring-damper erythrocyte model is able to consistently express blood flow without using constitutive equations.