. The Bell System technical journal . m-eters may cause large variations in maximum rebound. From anengineering standpoint these regions are essentially II—Partial initial front series for This region is one of critical phasing, and attention is limited tospecial cases leading to maximum rebound. These cases occur when a > § < _i LU .^ \ M,2 = i K=^ y \\ ,- \\ 1 \ \ I J -- — \\ \ \\ \ \\ \\ 5 Pia^ Fig. 6—Relative maximum rebound amplitude for M12 = 1/3. 184 THE BELL SYSTEM TECHNICAL JOURNAL, JANUARY 1952 heel imp

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. The Bell System technical journal . m-eters may cause large variations in maximum rebound. From anengineering standpoint these regions are essentially II—Partial initial front series for This region is one of critical phasing, and attention is limited tospecial cases leading to maximum rebound. These cases occur when a > § < _i LU .^ \ M,2 = i K=^ y \\ ,- \\ 1 \ \ I J -- — \\ \ \\ \ \\ \\ 5 Pia^ Fig. 6—Relative maximum rebound amplitude for M12 = 1/3. 184 THE BELL SYSTEM TECHNICAL JOURNAL, JANUARY 1952 heel impact immediately follows the last front impact of the cases occur at Q = 1 - fc k — k (30) and lead to rebound ampUtudes 2CFi = Mi2 + (1 - Mi2)[/c - Mx2(l - /c)] (31) In Figs. 5 to 10, these special points are plotted and connected withstraight dotted lines, which therefore indicate upper limits to Fig. 7—Relative maximum rebound amplitude for Mio = 1/4. RELAY ARMATURE REBOUND ANALYSIS 185 Region III—Partial initial heel series for 1 + k <Q < 1 + k /c(l - k) -\- Mnk{l + k) This is a region of critical phasing, and values were determined onlyfor the maximum cases, where a front impact just precedes the lastimpact of the partial initial heel series. Here: Q = 1 - k k(l - k)1 + k + A;(l - A;)ilfi, (32)

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