The Buckling of a Thick Circular Plate Using a Non Linear Theory
The Buckling of a Thick Circular Plate Using a Non Linear Theory
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In our eReader you can find the full English version of the book. Read The Buckling of a Thick Circular Plate Using a Non Linear Theory Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Buckling of a Thick Circular Plate Using a Non Linear Theory
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For this to be possible it is sufficient that y'l +(1/1*) Yl - (l/r )y » Y, and 5' are loropertional and also that S"^ + (l/'r)Y'> S, and y' + (l/r)Yj- are proportional. These proportionality conditions are satis- fied if Y = J^(k r) and 5 = J (k r) vjhere k is an arbitrary constant and J is the Bessel function of the first kind of order n. Since a wide class of functions can be expanded in series of the functions J^(k r) or J (k r), and since we can easily satisfy (5. 9) terra by term for such... series, xve look for solutions of the form CO f = . Er +2_. A^(^3)Ji(V^ n=l -^ 00 and S = (3, (X3) +^P, (x3)J^(k^r) vjhere k is chosen so that k R is the nth positive zero J-, .
Using the identity Jq = - J-i ^^'^ the differential equation for J we obtain (d/dr)J (k r) = - k Jt (k r) and o ' on nln et-ip. F' 12 + k J (k r) • Viflth these results we obtain 'n o^ n and Thus and f^ = - e -.
What to read after The Buckling of a Thick Circular Plate Using a Non Linear Theory?
You can find similar books in the "Read Also" column, or choose other free books by Chester B Sensenig to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
For this to be possible it is sufficient that y'l +(1/1*) Yl - (l/r )y » Y, and 5' are loropertional and also that S"^ + (l/'r)Y'> S, and y' + (l/r)Yj- are proportional. These proportionality conditions are satis- fied if Y = J^(k r) and 5 = J (k r) vjhere k is an arbitrary constant and J is the Bessel function of the first kind of order n. Since a wide class of functions can be expanded in series of the functions J^(k r) or J (k r), and since we can easily satisfy (5. 9) terra by term for such... series, xve look for solutions of the form CO f = . Er +2_. A^(^3)Ji(V^ n=l -^ 00 and S = (3, (X3) +^P, (x3)J^(k^r) vjhere k is chosen so that k R is the nth positive zero J-, .
Using the identity Jq = - J-i ^^'^ the differential equation for J we obtain (d/dr)J (k r) = - k Jt (k r) and o ' on nln et-ip. F' 12 + k J (k r) • Viflth these results we obtain 'n o^ n and Thus and f^ = - e -.
What to read after The Buckling of a Thick Circular Plate Using a Non Linear Theory?
You can find similar books in the "Read Also" column, or choose other free books by Chester B Sensenig to read onlineMoreLess
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