CONCEPT:Equivalent stiffness of spring for series combination:\(\FRAC{1}{{{S_{eq}}}} = \frac{1}{{{S_1}}} + \frac{1}{{{S_2}}}\)\(\frac{1}{{{S_{eq}}}} = \frac{{({S_1} + {S_2})}}{{{S_1}{S_2}}}\)\({S_{eq}} = \frac{{{S_1}{S_2}}}{{({S_1} + {S_2})}}\)But here S1 = S2 = STherefore, \({S_{eq}} = \frac{{{S}{S}}}{{({S} + {S})}}=\frac{S^2}{2S}\)\(\Rightarrow S_{eq}=\frac{S}{2}\)Equivalent stiffness of spring for parallel combination:Seq = S1 + S2 "> CONCEPT:Equivalent stiffness of spring for series combination:\(\FRAC{1}{{{S_{eq}}}} = \frac{1}{{{S_1}}} + \frac{1}{{{S_2}}}\)\(\frac{1}{{{S_{eq}}}} = \frac{{({S_1} + {S_2})}}{{{S_1}{S_2}}}\)\({S_{eq}} = \frac{{{S_1}{S_2}}}{{({S_1} + {S_2})}}\)But here S1 = S2 = STherefore, \({S_{eq}} = \frac{{{S}{S}}}{{({S} + {S})}}=\frac{S^2}{2S}\)\(\Rightarrow S_{eq}=\frac{S}{2}\)Equivalent stiffness of spring for parallel combination:Seq = S1 + S2 ">
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For two springs having same stiffness (S) are in series, the equivalent stiffness would be

Mechanical Vibrations Undamped Free Vibration in Mechanical Vibrations . 6 months ago

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CONCEPT:Equivalent stiffness of spring for series combination:\(\FRAC{1}{{{S_{eq}}}} = \frac{1}{{{S_1}}} + \frac{1}{{{S_2}}}\)\(\frac{1}{{{S_{eq}}}} = \frac{{({S_1} + {S_2})}}{{{S_1}{S_2}}}\)\({S_{eq}} = \frac{{{S_1}{S_2}}}{{({S_1} + {S_2})}}\)But here S1 = S2 = STherefore, \({S_{eq}} = \frac{{{S}{S}}}{{({S} + {S})}}=\frac{S^2}{2S}\)\(\Rightarrow S_{eq}=\frac{S}{2}\)Equivalent stiffness of spring for parallel combination:Seq = S1 + S2
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Posted on 19 Nov 2024, this text provides information on Mechanical Vibrations related to Undamped Free Vibration in Mechanical Vibrations. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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