By Paul Hare
The Army's Balloon manufacturing unit relocated to Farnborough in 1904 and used to be renamed the Royal airplane manufacturing facility in 1912, changing into a fix facility for broken aeroplanes. it is a historical past of the manufacturing facility, from the early ballooning and kite experiments to the bold SE5.
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Extra resources for Aeroplanes of the Royal Aircraft Factory (Crowood Aviation Series)
35], the stiffness influence coefficient kij is defined as the force needed at node i (in the direction of ui) to produce a unit displacement at node j (uj = 1) while all other nodes are restrained. This definition can be used to generate the matrix [K (e)]. 11(d), we induce a force (k11) equal to3 Ae = ðAe Ee /le Þ at node 1 and a force (k21) equal to −ðAe Ee /le Þ at node 2. Similarly, we can obtain the values of k22 and k12 as ðAe Ee /le Þ and −ðAe Ee /le Þ, respectively, by giving a unit displacement to node 2 and restraining node 1.
Checking the Results of FEA It is extremely important to check the results given by the FEA software. Usually a simpler version of the actual problem is to be solved using the software so that the results can be compared with known solutions (obtained by other methods such as a simplified analysis technique). In addition, the analyst must ensure that the results agree with engineering intuition and behavior. Also, one needs to verify whether the solution satisfies the specified boundary and symmetry conditions.
9) can be expanded as " #( ðeÞ ) ( ) n o n o K11 ΦðeÞ + K12 ΦðeÞ Φ1 ðeÞ ðeÞ 1 ΦðeÞ ΦðeÞ K11 K12 1 1 2 = Φ1 Φ2 1 2 ðeÞ ðeÞ ðeÞ 2 2 K12 K22 Φ2 K12 Φ1 + K22 Φ2 (a) n o ðeÞ2 ðeÞ ðeÞ ðeÞ2 1 = K11 Φ1 + 2 K12 Φ1 Φ2 + K22 Φ2 2 ðeÞ2 ðeÞ ðeÞ ðeÞ2 By comparing the coefficients of the terms involving Φ1 , Φ1 Φ2 and Φ2 in Eq. (a) with the corresponding terms on the right hand side of Eq. 8), we identify the elements of the matrix [K (e)] as ðeÞ ðeÞ K11 = A ðeÞE , l ðeÞ ðeÞ K12 = − A ðeÞE , l and ðeÞ ðeÞ K22 = A ðeÞE l (b) CHAPTER 1 Overview of Finite Element Method 8 9 8 9 < Φ1 = < P1 = !