日期:23-04-04 時(shí)間:02:18 來源: 益榮金屬
當(dāng)夾芯板停止運(yùn)動時(shí),其中心點(diǎn)達(dá)到最大撓度,此時(shí)Ψ(t)=0。式(3-41)對時(shí)間t
求一次導(dǎo)數(shù),得:
Ψ(t)=-[√(12N0/mL3)][w1+w2+(M0U+M0C)/N0]·sin[√12N0/mL3](t-T2)+(3R2v1/L2)·cos[√(12N0/mL3)](t-T2)
令Ψ(t)=0,可得:
[√(12N0/mL3)][w1+w2+(M0U+M0C)/N0]·sin[√12N0/mL3](t-T2)=(3R2v1/L2)·cos[√(12N0/mL3)](t-T2)
整理得到板運(yùn)動的終止時(shí)間T:
T=T2+[√(mL3/12N0)]·tan-1·3R2v1/{L2[√(12N0/mL3)][w1+w2+(M0U+M0C)/N0]} (3-42)
將(3-42)式代入(3-41)式即可求得板的中心點(diǎn)的最終撓度w:
w(T)=[w1+w2+(M0U+M0C)/N0]·cos[√(12N0/mL3)](t-T2)
+[√(mL3/12N0)]·sin[√12N0/mL3](t-T2)-(M0U+M0C)/N0 (3-43)
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