基于介质层耦合的柔性触觉传感器空间分辨率补偿方法研究

传统柔性压力传感器采用离散电容结构,传感器空间分辨率受到最小离散单元的限制。对于作用面积较小的外力接触,现有柔性传感器仅能通过减小离散单元面积确定接触位置,而离散单元过小则会造成制作困难、接线复杂、成本升高。为解决微小接触面积下空间分辨率偏低问题,提出了一种基于整体介质层耦合结构柔性传感器,通过建立传感器接触及扩散电容单元的数学模型,能够在不降低电极面积的情况下,通过接触及扩散电容对接触位置进行准确判断,显著提升柔性压力传感器的空间分辨率。仿真及试验结果表明:所设计的基于耦合介质层8×8阵列传感器的受力模型获得了0.2 mm×0.2 mm的空间分辨率,在较低的制作成本以及传感器尺寸稍大的前提下,大大提高了阵列传感器的空间分辨率。

The Filtration Problems of Fluid Containing Solute Through Layered Porous Media

In this paper, we consider the problem (θ(x,U))_t=(K(x,U)U_x)_x-(K(x,U))_x (x,t)∈G_T (θ(x,U)V(x,t))_t=(DθV_x)_x+(V(KU_x-K))_x,(x,t)∈G_T, u(x,0)=u_0(x),V(x,0),(x,0)=V_0(x),0≤x≤2, U(0,t)=h_0(t),U(2,t)=h_2(t),0≤t≤T, V(0,t)=g_0(t),V(2,t)=g_2(t),0≤t≤T. Where, θ(x,U)=θ_1(x,U) when (x,t)∈D_1={0≤x<1,0≤t≤T};θ(x,U)=θ_2(x,U),(x,t)∈D_2={1<x≤2,0≤t≤T}.K(x,U)=K_i(x,U),(x,t)∈D_i. θ_i, K_i are the Moisture content and hy draulic conductivity of porous Media on D_i respectively. V be the the concentration of solute in the fluid. In addition we also require that U, V, (K(x,U)U_x-1) and DθV_x+V(KU_x-K) are continu ous at x=1. We prove the exisence, uniqueness and large time behavior of the problem by the method of reg ularization.