# plate

## Sharing a book draft on the vibration analysis of quartz crystal resonators

In collaborations with industrial engineers on the design and analysis of quartz crystal plate resonators, which involves the high frequency vibrations of piezoelectric plates with Mindlin plate equations, we have to go through the details of plate equations for every stages in the analysis.  In addition, complications and bias fields are also considered.  We have put together our papers and written a draft of a book detailing essential equations and methods.  We now share this draft with you if you would like to read some documents to know insights on this particular subject.

## Abaqus results

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Hi,

i try to simulate a 3 points bending of a glass plate with abaqus.

force 1kN !

young modulus = 7e10 Pa

Poisson's ratio = 0.22

- the plate is square (30 cm) , thickness 8.72 mm

- i use 3D extruded solid

- for the load i can't create a line load so i replace this load by pressure in a thin surface (2mm*30cm) applied in the center of the plate

- C3D8R element type

but the results are strange:

the maximum displacement is 0.672 mm !

is that realistic ? 1kN and just 0.672 mm of central displacement  ?

## Kirchhoff–Love plate using COMSOL

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Hello,

Is it possible to solve with COMSOL a frequency domain problem for a plate using Kirchhoff–Love kinematic assumptions ?

Thank you,

## a question about vibration of plates having variable thickness

Hi everybody!

for plates with constant thickness and two opposite sides simply-supported B.Cs, we can write w(x,y)=f(y)*sin(m.Pi.x) and solving the problem from this viewpoin.

I wonder whether this approach is true for plates with (linearly) variable thickness?

many thanks

## Time depended modeling of plate

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Hello,

i'm working on the modeling of thin plate under transverse load. The basic function used for approximation of field variable is RBF function. There are a lot of publications, how the static model of the plate can be created, but no information about dynamic modeling. The following questions are not clear for me: