Page 110 - 4560
P. 110

9 THE CONCEPT OF MOMENTLESS
           THEORY OF SHELLS. CALCULATION OF

                THICK-CYLINDERОСНОСНІ ЕЕТИЧНІ
                                   ВІДОМОСТІ
          9.1  Momentless  model  of  axisymmetrical  thin-walled
          shell

          Recall that the shell is called the body, which is bounded by two
          curved surfaces, the distance between them - the thickness of the
          shell    - small compared to other dimensions of the body. We
          consider the constant shell thickness  (   const ).
          The  set  of  points  that  are  equidistant  from  the  front  boundary
          surfaces is called median surface. The thickness and shape of the
          middle surface defining the geometry of the shell.
          Thin-walled       shells     are      called     for      which
          ratio of thickness to the smallest radius of curvature of the surface
           R   is less than 1/20, i.e.,
            min
                                 R     1 20.
                                   min
          If  the  median  surface  of  the  shell,  obtained  as  the  result  of
          rotation  of  the  curve  with  respect  to  an  axis,  then  this  shell  is

                                        110
   105   106   107   108   109   110   111   112   113   114   115