Natural frequencies of a poroelastic hollow cylinder

被引:7
作者
Ibrahim Abbas
机构
[1]  ,Department of Mathematics, Faculty of Science
来源
Acta Mechanica | 2006年 / 186卷
关键词
Coupling Parameter; Circular Frequency; Frequency Equation; Seismic Wave Propagation; Radial Vibration;
D O I
暂无
中图分类号
学科分类号
摘要
Employing Biot's theory for wave propagation in a porous solid, the frequency equation for radial vibrations of a poroelastic cylinder is obtained. The frequency equation has been derived in the form of a determinant involving Bessel functions. The roots of the frequency equation give the values of the characteristic circular frequency parameters of the first four modes for various geometries. These roots, which correspond to various modes, are numerically calculated and presented graphically. The results indicate that the effects of porosity are very pronounced.
引用
收藏
页码:229 / 237
页数:8
相关论文
共 16 条
[1]  
Biot M. A.(1941)General theory of three-dimensional consolidation J. Appl. Phys. 12 155-164
[2]  
Biot M. A.(1956)General solutions of the equations of elasticity and consolidation for a porous material J. Appl. Mech. Trans. ASME 78 91-96
[3]  
Biot M. A.(1956)Theory of propagation of elastic waves in a fluid saturated porous solid, I: Low-frequency range J. Acoust. Soc. Am. 28 168-178
[4]  
Biot M. A.(1956)Theory of propagation of elastic waves in a fluid saturated porous solid, II: Higher-frequency range J. Acoust. Soc. Am. 28 179-191
[5]  
Deresiewicz H.(1962)The effect of boundaries on wave propagation in a liquid-filled porous solid, IV. Surface waves in a half-space Bull. Seismol. Soc. Am. 52 627-638
[6]  
Jones J.(1961)Rayleigh waves in a porous, elastic, saturated solid J. Acoust. Soc. Am. 33 959-962
[7]  
Paul S.(1976)On the displacements produced in a porous elastic half-space by an impulsive line load (nondissipative case) Pure Appl. Geophys. 114 604-614
[8]  
Paul S.(1976)On the disturbance produced in a semi-infinite poroelastic medium by a surface load Pure Appl. Geophys. 114 615-627
[9]  
Philippacopoulos A.(1988)Lamb's problem for fluid-saturated, porous media Bull. Seismol. Soc. Am. 78 908-923
[10]  
Philippacopoulos A.(1988)Wave in partially saturated medium due to surface loads J. Engng Mech. Div. Proc. ASCE 114 1740-1759