COUPLED BENDING TORSIONAL DYNAMIC STIFFNESS MATRIX FOR AXIALLY LOADED BEAM ELEMENTS

被引：73

作者：

BANERJEE, JR

FISHER, SA

机构：

[1] Department of Mechanical Engineering and Aeronautics, City University, London, ECIV OHB, Northampton Square

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1992年 / 33卷 / 04期

关键词：

Beams and Girders;

D O I：

10.1002/nme.1620330405

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Analytical expressions for the coupled bending-torsional dynamic stiffness matrix elements of an axially loaded uniform beam element are derived in an exact sense by solving the governing differential equations of motion of the beam. The influence of axial force on the coupled bending-torsional frequencies of a cantilever and hinged-hinged beam of thin-walled section is demonstrated by numerical results. Application of the developed theory includes coupled bending-torsional frequency and mode calculations of helicopter, turbine and propeller blades, plane and space frames, and grillages consisting of axially loaded beam elements with non-coincident mass centre and shear centre.

引用

页码：739 / 751

页数：13

共 15 条

[11] APPLICATION OF THE REISSNER METHOD TO DERIVE THE COUPLED BENDING-TORSION EQUATIONS OF DYNAMIC MOTION OF ROTATING PRETWISTED CANTILEVER BLADING WITH ALLOWANCE FOR SHEAR DEFLECTION, ROTARY INERTIA, WARPING AND THERMAL EFFECTS [J].

SUBRAHMANYAM, KB ;

KULKARNI, SV ;

RAO, JS .

JOURNAL OF SOUND AND VIBRATION, 1982, 84 (02) :223-240

[12]

Timoshenko S. P., 1974, VIBRATION PROBLEMS E

[13]

Vlasov V.Z., 1961, THIN WALLED ELASTIC, V2nd ed.

[14] EFFICIENT CALCULATION OF NATURAL FREQUENCIES OF CERTAIN MARINE STRUCTURES [J].

WILLIAMS, FW ;

WITTRICK, WH .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1973, 15 (10) :833-843

[15] GENERAL ALGORITHM FOR COMPUTING NATURAL FREQUENCIES OF ELASTIC STRUCTURES [J].

WITTRICK, WH ;

WILLIAMS, FW .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1971, 24 (AUG) :263-&

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