Continuous models for chain of inertially linked masses

Abstract: The paper focuses on 1D continuous models derived from a discrete micro-structure. A new continualization procedure that takes into account the nonlocal interaction between variables of the discrete media is proposed. The proposed procedure mainly contains an application of two-point Padé approximations and allows obtaining continuous models suitable to analyze 1D lattice vibrations with arbitrary frequencies. [Copyright &y& Elsevier]