The invention discloses a mechanical transfer displacement response calculation method of a finite periodic chiral
unit structure, which is used for efficiently solving a compression-torsion
coupling response of a finite chiral structure and representing acoustic and
optical branch polarization. The method comprises the following steps: constructing a chiral
subunit dynamic model consisting of a disc and an inclined elastic rod piece, and establishing a longitudinal polarization and torsional
polarization coupling relationship based on bending deformation and tension-compression deformation of the rod piece under the action of longitudinal or torsional simple
harmonic load, the method comprises the following steps of: obtaining longitudinal and torsional deviation amplitude values of acoustic branches and optical branches of each disc under
low frequency and
high frequency, superposing the polarization of the two branches in
generalized coordinates to form displacement and torsional description, calculating
kinetic energy, bending
potential energy and tension-compression
potential energy according to the displacement and torsional description, and establishing a fluctuation
control equation by adopting a Lagrange equation; and substituting the
inertia matrix, the
stiffness matrix, the force boundary condition and the displacement boundary condition to solve the transfer displacement response and the transfer characteristic. The method can separate and quantify two
branch contributions, and is suitable for chiral phononic
crystal vibration isolation and filtering structure design.