A NOTE ON VIBRATING TAPERED BEAMS

被引:23
作者
GROSSI, RO [1 ]
BHAT, RB [1 ]
机构
[1] CONCORDIA UNIV,DEPT MECH ENGN,MONTREAL H3G 1MB,QUEBEC,CANADA
关键词
D O I
10.1016/0022-460X(91)90693-E
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Several works dealing with transverse vibrations of tapered beams have been published. Mabie and Rogers have presented analyses for tapered beams with different end conditions. Goel analyzed the case of transverse vibrations of linearly tapered beams, elastically restrained against rotation at either end. Laura and coworkers, treated various cases of non-uniform beams. This paper deals with the approximate determination of frequency coefficients of linearly tapered beams with ends elastically restrained against rotation. Two approaches are used: the modified Rayleigh-Schmidt method and the characteristic orthogonal polynomials method. An observation about Goel's paper is included.
引用
收藏
页码:174 / 178
页数:5
相关论文
共 10 条
[1]   NATURAL FREQUENCIES OF RECTANGULAR-PLATES USING CHARACTERISTIC ORTHOGONAL POLYNOMIALS IN RAYLEIGH-RITZ METHOD [J].
BHAT, RB .
JOURNAL OF SOUND AND VIBRATION, 1985, 102 (04) :493-499
[2]  
Blevin RD, 1979, FORMULAS NATURAL FRE
[3]   VIBRATIONS AND BUCKLING OF A NON-UNIFORM BEAM ELASTICALLY RESTRAINED AGAINST ROTATION AT ONE END AND WITH CONCENTRATED MASS AT THE OTHER [J].
CORTINEZ, VH ;
LAURA, PAA .
JOURNAL OF SOUND AND VIBRATION, 1985, 99 (01) :144-147
[4]   TRANSVERSE VIBRATIONS OF TAPERED BEAMS [J].
GOEL, RP .
JOURNAL OF SOUND AND VIBRATION, 1976, 47 (01) :1-7
[5]  
GROSSI R, 1989, J IND MATH SOC, V38, P163
[6]   VIBRATIONS OF AN ELASTICALLY RESTRAINED CANTILEVER BEAM OF VARYING CROSS-SECTION WITH TIP MASS OF FINITE LENGTH [J].
LAURA, PAA ;
GUTIERREZ, RH .
JOURNAL OF SOUND AND VIBRATION, 1986, 108 (01) :123-131
[7]   TRANSVERSE VIBRATIONS OF DOUBLE-TAPERED CANTILEVER BEAMS [J].
MABIE, HH ;
ROGERS, CB .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1972, 51 (05) :1771-&
[8]   TRANSVERSE VIBRATIONS OF TAPERED CANTILEVER BEAMS WITH END LOADS [J].
MABIE, HH ;
ROGERS, CB .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1964, 36 (03) :463-&
[9]   TRANSVERSE VIBRATIONS OF DOUBLE-TAPERED CANTILEVER BEAMS WITH END SUPPORT AND WITH END MASS [J].
MABIE, HH ;
ROGERS, CB .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1974, 55 (05) :986-991
[10]   TRANSVERSE VIBRATIONS OF TAPERED CANTILEVER BEAMS WITH END SUPPORT [J].
MABIE, HH ;
ROGERS, CB .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1968, 44 (06) :1739-&