锚杆支护方式对深埋洞室隔冲击效果影响的数值模拟研究

与浅埋洞室相比,随着埋深增加而产生的高地应力现象使深埋洞室安全性评价更加复杂。本研究在考虑地应力平衡的前提下,采用有限元与无限元相结合的方法,对冲击荷载作用下深埋洞室的锚杆支护方式进行了设计与优化。计算结果表明：在平衡初始地应力之后,Mises应力会随着锚杆长度、疏密程度的增加略有增长。当锚杆长度和疏密程度增至某一特定值时,洞室洞壁的位移和塑性应变将达到最小值,洞室围岩将达到相对安全状态。锚杆间隔布置下,长锚杆数量的增加将提高洞室围岩的安全性。当对洞室拱脚进行重点支护时,整个洞壁的位移均有所减小。     

Band structure calculation of scalar waves in two-dimensional phononic crystals based on generalized multipole technique

A multiple monopole （or multipole） method based on the generalized mul- tipole technique （GMT） is proposed to calculate the band structures of scalar waves in two-dimensional phononic crystals which are composed of arbitrarily shaped cylinders embedded in a host medium. In order to find the eigenvalues of the problem, besides the sources used to expand the wave field, an extra monopole source is introduced which acts as the external excitation. By varying the frequency of the excitation, the eigenvalues can be localized as the extreme points of an appropriately chosen function. By sweeping the frequency range of interest and sweeping the boundary of the irreducible first Brillouin zone, the band structure is obtained. Some numerical examples are presented to validate the proposed method.