G 1 = cosh α 2 ( h 1 h 2 )

D 3 = sinh ( α h 2 ) sinh ( α h 1 )

F 2 = E 4 E 2

G 2 = sinh α 2 ( h 1 h 2 )

D 4 = cosh ( α h 2 ) cosh ( α h 1 )

F 3 = E 4 E 3

B 1 = ( h 1 + h 2 ) [ F α G 1 + 2 G 2 ] 2 ( h 1 h 2 ) α G 1 4 G 2

E 1 = ( B 3 2 B 4 2 ) / 2

F 4 = E 5 B 3

B 2 = F α G 1 + 2 G 2 ( h 1 h 2 ) α G 1 2 G 2

E 2 = B 3 2 + B 4 2 2

F 5 = E 5 B 4

B 3 = ( h 1 h 2 + F ) sinh α 2 ( h 1 + h 2 ) ( h 1 h 2 ) α G 1 2 G 2

E 3 = B 3 B 4

P 1 = B r ( 1 + 1 / β )

B 4 = ( h 1 h 2 + F ) cosh α 2 ( h 1 + h 2 ) ( h 1 h 2 ) α G 1 2 G 2

E 4 = P 1 α 2 + P 2 4

P 2 = B r M 2 1 + m 2

D 1 = cosh ( 2 α h 2 ) cosh ( 2 α h 1 )

E 5 = 2 P 2 P 3 / α

P 3 = 1 + B 2

D 2 = sinh ( 2 α h 2 ) sinh ( 2 α h 1 )

F 1 = ( ( P 1 α 2 P 2 ) E 1 α 2 + P 1 P 3 2 ) / 2

B 5 = [ 1 + F 1 ( h 2 2 h 1 2 ) + F 2 D 1 + F 3 D 2 + F 4 D 3 + F 5 D 4 ] / ( h 2 h 1 )

B 6 = B 5 h 1 F 1 h 1 2 F 2 cosh ( 2 α h 1 ) F 3 sinh ( 2 α h 1 ) F 4 sinh ( α h 1 ) F 5 cosh ( α h 1 )