Phononic crystal(PC)has attracted considerable attentions due to the excellent performance in controlling elastic waves over the past two decades.The existence of the full band gaps(BGs)in PC can be u
This work presents a generalized topology optimization approach for the design of hierarchical lattice structures with the development of an Approximation of Reduced Substructure with Penalization(ARS
In this paper,it is pointed out that the topology optimization of continuum structures had entered a new stage since Zhous research in 2016.The new stage includes two points:(1)Designs of discrete str
Different optimization models have been established for the topology optimization of continuum structures.It is necessary to compare the similarities and differences between different models in order
With the fast development of additive manufacturing,designs of structures made of multiple material phases can be successfully fabricated.However,most of existing works on topology optimization of mul
In this paper,the equivalent spring particle elements models of the two-dimensional continuum are studied.The spring-particle coupling model of the continuous medium is obtained based on the displacem
There are tremendous conservative system analyses in physics and applied mechanics,and one of the most important characteristics of a conservative system is symplectic conservation.
The generalized energy of a nonlinear dynamical system does not necessarily follow the exponential decay even though the nonlinear system to be stable.In fact,the power-law decay and logarithmic decay