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\n2DOF Spring Mass System Proof\n

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\nThis is an alternate proof for finding the natural frequencies and natural modes for a 2 DOF system. This method can always be used, but it's easier to involve matrices for larger degrees of freedom. The equation of motion can be...\nThis is an alternate proof for finding the natural frequencies and natural modes for a 2 DOF system. This method can always be used, but it's easier to involve matrices for larger degrees of freedom.

The equation of motion can be described in terms of ratios of amplitues (modeshapes) and natural frequencies (w1 and w2) and constants to be determined from the initial conditions (A, B, phi_1, and phi_2).\n
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Resource Details

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Educator Rating
Not yet Rated
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Media Length
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14:21
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Grade
Higher Ed
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Subjects
Science
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Media Type
Instructional Videos
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Source:
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\nVirtually Passed\n\n
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Date
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2017
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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natural frequency, linear algebra, quadratic formula, force, amplitude, expressions, vibration
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Additional Tags

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2 dof, degree of freedom, modeshapes, natural frequencies, natural modes, distance x2, equals ma, involving x1, amplitude ratio, characteristic equation, generalized equation, constant times, constant, times, 618 times, form, frequencies, equation, back, case, imagine, root, omega, squared, guys, forces, minus, minus 1
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Classroom Considerations

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\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: 2DOF Spring Mass System Proof\" href=\"/subscription/new\">\"2DOF\n\n
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