6926475974

84-1720

ftaponie of a Plata to a Tranaeat

Preaaare Wave

A. Kunów Baumhauer

Mannesmann Anlagenbau AG. Theodorstrasse 90. 4000 Dusseldorf 30. W. Germany, J. Sound Vib., 92 (4). pp 507-515 (Feb 22. 1984) 6 figs. 3 tables. 9 refs

Key Word*: Plettt, Movir>g loeds, Fłexur*l waves. Wave

propagatton

The dynamkal behevk>r of a Kirchhoff piata u od er • moviog pretsure wava is Inyestigated. The resufts ara praaantad as dynamie amplification factors. Tha influenca of the load para met er* (propagetion speed, pressure wave duration) and tha piata perameters (slendarness, atpoct ratk>, dampinę. etc.) itdiscutaad. Resultsfor two examplesare praaantad.

Key Wordt: Platas, Beams, Flexural yibration. Approxima-tion method*

This papar presant* an approximata solution to the title problem for the following situations: supportad and c lam pad ractangular platas, circular platas with edges elastically re-strained againtt rotation, and baam* with and* fłexibly attached. The approach i* quite simple and it is thown that tha engineering accuracy achieved is satisfactory from the point of view of the determination of fundamental fre-quancias in a wida yariety of structural element* commonly usad in transducer design and aarospace and neval appl kat ions.

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84-1721

Frequency Determination Technkjues for Canti-levmd Ratea with Bending-Torsion Coupling

D.W. Jensen and E.F. Crawley Massachusetts Inst. of Tech., Cambridge, MA, AIAA J..22J3). pp 415-419 (Mar 1984) 6 figs. 3 tables. 9 refs

Key Word*: Ptetes, Flexural vibration, Tortional vibration, Coupted response, NaturaI frequencie*. Moda shapes

Various tachniquas for solution of tha variationel ttatamant goyerning yibration of cantilavared oomposłta platas ara comparad. The partia! Rltz (Kantorovich) method assumas moda shapas only In the chordwise direction and raducas tha problem to a set of ord i nary differantial equatk>n*. Tha importem nondimensionel perameters for cantilavarad platas wrth banding-torsion coupling than ara identified aasily, including two that axprass tha ralativa contr ibution of tha warping stiffnasa to torsionel vibration (&$) chordwisa yfcration 022

84-1722

Effect of a Concentrated Masa on Larga Amplitudę, Free F1exural Yibration* of Elastic Platea and Beams

R.H. Gutierrez and P.A.A. Laura Inst. of Appl. Mechanics, 8111 Puerto Belgrano Naval Base, Argentina, Appl. Acoust., 12 (2), pp 135-151 (1984) 3 figs, 6 tables, 6 refs

84-1723

A Mułtiple-Mode Approach to Large-Amplitude Yibration of Moderately Thick EUiptical Platea

M. Sathyamoorthy and M.E. Prasad Clarkson College of Tech., Potsdam, NY 13676, J. Appl. Mech., Trans. ASME.,51 (1), PP 153-158 (Mar 1984) 5 figs, 6 tables. 18 refs

Kay Words: Platas, Vibration analysis, Large frequencias, Tran*ver*e shaar daformation effect*. Rotatory inertie effect*

Based on a multipla-mode analysis, Solutions to the nonlinaer equations of motion ara presented for elliptical platas in terma of v»riation» of nonlinaer period* with amplitudes of vibratk>n. The governing equatk>ns are written in terms of lataral displacament w and stress function F and the effects of transverse shaar deformation and rotatory inertia are incorporated into these equations. For the multiple-mode approach contidarad in this papar, an exact solution to the stress function is determined. Effects of geometrie non-linaarity, shaar daformation, rotatory inertia, piata geometry, and model interaction on tha yibration bahaviors of elliptical platas ara inyestigatad in dataii.

84-1724

Uae of LaGrange Multipliers with Polynomial Serie* for Dynamie Anałya* of Constrained Platę*. Part 1: Polynomial Serie*

E. Goldfracht and G. Rosenhouse Technion-lsrael Inst. of Tech., 32000 Haifa, Israel, J. Sound Vib., 92 (1), pp 83-93 (Jan 8. 1984) 3 figs, 3 tables. 24 refs

Kay Words: Platas. Stiffened platas

A theory for prediction of the dynamie response of a constrained płata Is presented. Tha bounderies of the piata may

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