MODAL ASSURANCE CRITERION FOR COMPARING TWO MODE SHAPES OF A MULTI-COMPONENT STRUCTURE
First Claim
1. A method for comparing two mode shapes of a multi-component structure, comprising:
- forming a first mode shape vector and a second mode shape vector for a first mode shape and a second mode shape of the multi-component structure, respectively, by grouping modal displacement at each node associated with each component in the multi-component structure;
squaring sum of magnitudes of correlation of the modal displacement at each component for the first mode shape vector and the second mode shape vector in the multi-component structure;
computing a product of squared magnitudes of the first mode shape vector and the second mode shape vector of the multi-component structure;
computing modal assurance criterion between the first mode shape vector and the second mode shape vector of the multi-component structure by dividing the squared sum of magnitudes of the correlation of the modal displacement at each component for the first mode shape vector and the second mode shape vector in the multi-component structure with the computed product of squared magnitudes of the first mode shape vector and the second mode shape vector of the multi-component structure; and
comparing the first mode shape and second mode shape of the multi-component structure using the computed modal assurance criterion.
2 Assignments
0 Petitions
Accused Products
Abstract
An improved Modal Assurance Criterion for comparing two mode shapes obtained from modal analysis of a multi-component structure is disclosed. In one embodiment, a first mode shape vector and second mode shape vector for a first mode shape and second mode shape of the multi-component structure, respectively, are formed by grouping modal displacement at each node associated with each component in the multi-component structure. Further, modal assurance criterion (MAC) between the first mode shape vector and second mode shape vector is computed by dividing a square of sum of magnitudes of correlation of the modal displacement at each component for the first mode shape vector and second mode shape vector in the multi-component structure with a product of squared magnitudes of the first mode shape vector and second mode shape vector. Furthermore, the first mode shape and second mode shape of the multi-component structure are compared using the MAC.
6 Citations
34 Claims
-
1. A method for comparing two mode shapes of a multi-component structure, comprising:
-
forming a first mode shape vector and a second mode shape vector for a first mode shape and a second mode shape of the multi-component structure, respectively, by grouping modal displacement at each node associated with each component in the multi-component structure; squaring sum of magnitudes of correlation of the modal displacement at each component for the first mode shape vector and the second mode shape vector in the multi-component structure; computing a product of squared magnitudes of the first mode shape vector and the second mode shape vector of the multi-component structure; computing modal assurance criterion between the first mode shape vector and the second mode shape vector of the multi-component structure by dividing the squared sum of magnitudes of the correlation of the modal displacement at each component for the first mode shape vector and the second mode shape vector in the multi-component structure with the computed product of squared magnitudes of the first mode shape vector and the second mode shape vector of the multi-component structure; and comparing the first mode shape and second mode shape of the multi-component structure using the computed modal assurance criterion. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15)
-
-
16. A modal analysis system to compare two mode shapes of a multi-component structure, comprising:
-
a processor; and memory coupled to the processor, wherein the memory includes a validation tool to; form a first mode shape vector and a second mode shape vector for a first mode shape and a second mode shape of the multi-component structure, respectively, by grouping modal displacement at each node associated with each component in the multi-component structure; compute a square of sum of magnitudes of correlation of the modal displacement at each component for the first mode shape vector and the second mode shape vector in the multi-component structure; compute a product of squared magnitudes of the first mode shape vector and the second mode shape vector of the multi-component structure; compute modal assurance criterion between the first mode shape vector and the second mode shape vector of the multi-component structure by dividing squared sum of magnitudes of the correlation of the modal displacement at each component for the first mode shape vector and the second mode shape vector in the multi-component structure with the computed product of squared magnitudes of the first mode shape vector and the second mode shape vector of the multi-component structure; and compare the first mode shape and the second mode shape of the multi-component structure using the computed modal assurance criterion. - View Dependent Claims (17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31)
-
-
32. A non-transitory computer-readable storage medium for comparing two mode shapes of a multi-component structure having instructions that, when executed by a computing device, cause the computing device to:
-
form a first mode shape vector and a second mode shape vector for a first mode shape and a second mode shape of the multi-component structure, respectively, by grouping modal displacement at each node associated with each component in the multi-component structure; square sum of magnitudes of correlation of the modal displacement at each component for the first mode shape vector and the second mode shape vector in the multi-component structure; compute a product of squared magnitudes of the first mode shape vector and the second mode shape vector of the multi-component structure; compute modal assurance criterion between the first mode shape vector and the second mode shape vector of the multi-component structure by dividing the squared sum of magnitudes of the correlation of the modal displacement at each component for the first mode shape vector and the second mode shape vector in the multi-component structure with the computed product of squared magnitudes of the first mode shape vector and the second mode shape vector of the multi-component structure; and compare the first mode shape and second mode shape of the multi-component structure using the computed modal assurance criterion. - View Dependent Claims (33, 34)
-
Specification