TRANSVERSE VIBRATION OF TRIANGULAR PLATES USING CHARACTERISTIC ORTHOGONAL POLYNOMIALS IN 2 VARIABLES

被引:23
作者
SINGH, B [1 ]
CHAKRAVERTY, S [1 ]
机构
[1] CENT BLDG RES INST,CTR COMP,ROORKEE,UTTAR PRADESH,INDIA
关键词
D O I
10.1016/0020-7403(92)90064-N
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Transverse vibrations of a triangular plate were studied under various types of boundary conditions at the three sides by using orthogonal polynomials as the basis functions and applying the Rayleigh-Ritz method. The problem was formulated and studied in the most general form, and comparison of numerical results was made with known results in special cases.
引用
收藏
页码:947 / 955
页数:9
相关论文
共 21 条
[2]   VIBRATION OF A 45-DEGREES RIGHT TRIANGULAR CANTILEVER PLATE BY A GRIDWORK METHOD [J].
CHRISTENSEN, RM .
AIAA JOURNAL, 1963, 1 (08) :1790-1795
[3]   STATIC AND DYNAMIC APPLICATIONS OF A HIGH-PRECISION TRIANGULAR PLATE BENDING ELEMENT [J].
COWPER, GR ;
KOSKO, E ;
LINDBERG, GM ;
OLSON, MD .
AIAA JOURNAL, 1969, 7 (10) :1957-&
[8]   AN EXPERIMENTAL STUDY OF NATURAL VIBRATIONS OF CANTILEVERED TRIANGULAR PLATES [J].
GUSTAFSON, PN ;
STOKEY, WF ;
ZOROWSKI, CF .
JOURNAL OF THE AERONAUTICAL SCIENCES, 1953, 20 (05) :331-337
[9]   THE FREE FLEXURAL VIBRATION OF RIGHT TRIANGULAR ISOTROPIC AND ORTHOTROPIC PLATES [J].
KIM, CS ;
DICKINSON, SM .
JOURNAL OF SOUND AND VIBRATION, 1990, 141 (02) :291-311
[10]   UPPER AND LOWER BOUNDS FOR FREQUENCIES OF TRAPEZOIDAL AND TRIANGULAR PLATES [J].
KUTTLER, JR ;
SIGILLITO, VG .
JOURNAL OF SOUND AND VIBRATION, 1981, 78 (04) :585-590