By Jack R. Vinson
Plates and panels are fundamental parts in lots of constructions together with house cars, airplane, cars, constructions, bridge decks, ships and submarines. the facility to layout, examine, optimise and choose the correct fabrics for those constructions is a need for structural designers, analysts and researchers.
This textual content includes 4 elements. the 1st bargains with plates of isotropic (metallic and polymeric) fabrics. the second one comprises composite fabric plates, together with anisotropy and laminate concerns. The 3rd part treats sandwich buildings of assorted forms, and the ultimate part supplies an creation to plates regarding piezoelectric fabrics, within which the "smart" or "intelligent" fabrics are used as actuators or sensors.
In every one part, the formulations surround plate buildings subjected to static a lot, dynamic rather a lot, buckling, thermal/moisture environments, and minimal weight structural optimisation.
This is a textbook for a graduate path, an undergraduate senior direction and a reference. Many homework difficulties are given in a variety of chapters.
Read or Download Plate and Panel Structures of Isotropic, Composite and Piezoelectric Materials, Including Sandwich Construction PDF
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Additional resources for Plate and Panel Structures of Isotropic, Composite and Piezoelectric Materials, Including Sandwich Construction
Example text
Salt water weighs 64 lbs/ft3, Esteel 30 u 10 6 psi , and steel 3. 4. Linear interpolation is permitted. 9. A rectangular wing panel component, 8ccc u 5ccc is made of aluminum, and under the most severe maneuver conditions can be subjected to a uniform lateral load of 20 psi. This wing panel can be approximated by a flat plate simply supported on all four edges. What thickness must the panel be, and what is the resulting maximum deflection under this maneuver condition? 5. 3 . 10. A rectangular steel plate is used as part of a flood control structure, and is mounted vertically under water such that it is subjected to a hydraulic loading p ( x, y ) p 0 p1 y b where p 0 and p1 are constants associated with the pressure heads.
Hence, let O Y ccc O2Y as before Į 0 2 Y ccc O Y iO sinh O y ½ ® ¾, ¯cosh O y ¿ 0 Y r Ȝ, r Ȝ where Ȝ is imaginary, let e Dx so X X IV X4 2O2 O4 X X 2 D 4 2O D 2 O D 4 X 0 0 cos O x ½ ° ° ° x cos O x ° ¾ ® °sin O x ° ° ° ¯ x sin O x ¿ ri O , r i O . 10) 0 X ccc X g ( x) X ccc J 2 X 0 X J 2 cos Jx ½ ® ¾ ¯sin Jx ¿ and as before Y cosh Jy ½ ° y cosh Jy ° ° ° ¾. 11) ° ° ° ° ° ¿ 33 Case IIb J 2 then Case IIc J 2 let J iJ 0 X 1 ½ ® ¾ ¯X ¿ Y 1 ½ °y ° ° ° ® 2 ¾. 12) ° ° ° ° ° ¿ 0 X °cosh J x ½° ® ¾ °¯sinh J x °¿ Y sin J y ½ ° ° ° y sin J y ° ¾.
22) where g(x) and h(y) are given. 23) An 2 b nSy dyy. 24) where O n nS / b . As before, for this to be true, the series must be equated term by term. 1 An g n ( x). 25) Note, at this point the boundary conditions on the other two edges have not been specified. 25) without other information regarding the x = constant edges. 25) in the customary way, let I n e sx such that the homogeneous solution becomes: s 4 2O2n s 2 O4n ( s 2 O2n )( s 2 O2n ) s 0 0 where O2n ! 0 rO n , r O n So, the complementary solution is: I n ( x) (C1 C 2 x) cosh O n x (C 3 C 4 x) sinhO n x.
