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CN-122020949-A - Two-dimensional discrete stiffness recombination method based on spatial feature distribution

CN122020949ACN 122020949 ACN122020949 ACN 122020949ACN-122020949-A

Abstract

The invention belongs to the field of stiffness calculation methods, and particularly relates to a two-dimensional discrete stiffness recombination method based on spatial feature distribution. The invention provides a two-dimensional discrete stiffness recombination method based on space feature distribution, which comprises the following steps of 1 determining a circle center O of a load and a radius r of an outer peripheral surface of the load, determining the stiffness [ k n ] of a vibration damping component, 2 moving the load along an x direction to displace L, determining an included angle [ theta n ] between a connecting line of a midpoint [ A n ] of a contact surface of the vibration damping component and the load and the circle center O and an x axis, 3 calculating a compression amount [ x n ] of the vibration damping component according to the displacement L, the radius r and the included angle [ theta n ], 4 calculating a stress [ F n ] of the vibration damping component according to the compression amount [ x n ] of the vibration damping component, 5 calculating a sum F of component forces of all the vibration damping components in the moving direction of the load, and 6 calculating the stiffness k=F/L of the vibration damping system. The rigidity of the vibration reduction system can be rapidly calculated through the mathematical model.

Inventors

  • WANG XIMENG
  • LU BINGJU
  • MA YONG
  • CHEN FEIYU
  • QIN LIPING
  • JIANG ZHEN
  • SUN ZHUO
  • You Chuang
  • HOU DONGDONG

Assignees

  • 中国船舶集团有限公司第七一三研究所
  • 中船海为高科技有限公司

Dates

Publication Date
20260512
Application Date
20251203

Claims (9)

  1. 1. The two-dimensional discrete stiffness recombination method based on spatial feature distribution is characterized by comprising the following steps of: Step 1, determining the circle center O of a load and the radius r of the peripheral surface, and determining the rigidity [ k n ] of n vibration reduction components uniformly distributed along the same circumference at intervals; Step 2, assuming that the load moves by a displacement L along the x direction, determining an included angle [ theta n ] between a connecting line of a midpoint [ A n ] of a vibration reduction component and a contact surface of the load and a circle center O and an x axis; Step 3, calculating the compression quantity [ x n ] of the vibration reduction component according to the load displacement L, the radius r of the outer peripheral surface of the load and the included angle [ theta n ]; Step 4, calculating stress [ F n ] of the vibration reduction component according to the compression quantity [ x n ] of the vibration reduction component; Step 5, calculating the sum F of component forces of all vibration reduction components in the moving direction of the load; and 6, the rigidity k=F/L of the vibration reduction system.
  2. 2. The two-dimensional discrete stiffness recombination method based on spatial feature distribution according to claim 1, wherein in the step 3, the vibration damping element has a precompressed amount, and the variation of the precompressed amount of the vibration damping element is calculated according to the load displacement L, the radius r of the load outer circumferential surface and the included angle [ θ n ], thereby obtaining the compressed amount [ x n ].
  3. 3. The two-dimensional discrete stiffness recombination method based on space feature distribution as claimed in claim 2, wherein the circle center O 'of the load after movement is determined, and an included angle [ alpha n ] between the connecting line of the circle center O' and the midpoint [ a n ] and the connecting line of the circle center O and the circle center O 'is calculated, and the variation x' of the precompression amount of the vibration reduction component is calculated -r。
  4. 4. A two-dimensional discrete stiffness recombination method based on spatial feature distribution as set forth in any one of claims 1-3, wherein in step 4, when the compression x n is smaller than 0, the stress F n =0 of the corresponding vibration reduction component.
  5. 5. The two-dimensional discrete stiffness recombination method based on spatial feature distribution according to claim 1 or 2, wherein in step 4, if the stiffness [ k n ] of the vibration damping component is a displacement-load curve, the stress [ F n ] of the vibration damping component is calculated by using a difference method.
  6. 6. The two-dimensional discrete stiffness recombination method based on spatial feature distribution as set forth in claim 1 or 2, wherein in step 4, if the stiffness [ k n ] of the vibration damping component is a fixed value, the stress [ F n ]=[k n ] of the vibration damping component [x n ]。
  7. 7. The method for reorganizing two-dimensional discrete stiffness based on spatial feature distribution according to claim 1 or 2, wherein in step 5, if the component force of each vibration reduction element in the moving direction of the load is F n cosθ n , then 。
  8. 8. The two-dimensional discrete stiffness recombination method based on space feature distribution according to any one of claims 1-3, wherein the value of L is changed for a plurality of times, and the steps 2-6 are repeated to draw a curve of force F and displacement L, and the slope of the curve is stiffness k.
  9. 9. A two-dimensional discrete stiffness recombination method based on spatial feature distribution as set forth in any one of claims 1 to 3, characterized in that the radius r of the outer peripheral surface of the load When the displacement L is displaced, in the step 1, an included angle [ theta ' - n ] between the connecting line of the midpoint [ A ' - n ] of the vibration reduction component and the load contact surface and the center O of the circle and the x-axis is calculated, and in the step 2, the [ theta ' - n ]=[θ' n ] is calculated.

Description

Two-dimensional discrete stiffness recombination method based on spatial feature distribution Technical Field The invention belongs to the field of stiffness calculation methods, and particularly relates to a two-dimensional discrete stiffness recombination method based on spatial feature distribution. Background Vibration damping systems are critical systems essential in industrial manufacturing, which are widely used in the fields of ships, aerospace, automobiles, etc. As a typical vibration damping system, a plurality of vibration damping components are uniformly distributed along the same circumference at intervals, a load is positioned on the inner side of the vibration damping system, and a support is positioned on the outer side of the vibration damping system. Stiffness index is a critical index in the design application of vibration damping systems. In the research of large-scale complicated vibration damping systems, the rigidity is designed and evaluated mainly through a simulation method and a simulation test. However, when the simulation method is adopted, the problems of low accuracy, large grid quantity, long calculation time consumption and the like of the constitutive model exist, so that great challenges are brought to the rigidity design and research of the vibration reduction system, and meanwhile, the simulation test is high in cost and a large amount of manpower and material resources are required to be consumed. Disclosure of Invention The invention aims to provide a two-dimensional discrete stiffness recombination method based on spatial feature distribution, which aims to solve the technical problems that the calculation of stiffness by adopting the existing method is long in time consumption and a large amount of manpower and material resources are required to be consumed. In order to achieve the above purpose, the technical scheme of the two-dimensional discrete stiffness recombination method based on spatial feature distribution provided by the invention is as follows: the two-dimensional discrete stiffness recombination method based on spatial feature distribution is characterized by comprising the following steps of: Step 1, determining the circle center O of a load and the radius r of the peripheral surface, and determining the rigidity [ k n ] of n vibration reduction components uniformly distributed along the same circumference at intervals; Step 2, assuming that the load moves by a displacement L along the x direction, determining an included angle [ theta n ] between a connecting line of a midpoint [ A n ] of a vibration reduction component and a contact surface of the load and a circle center O and an x axis; Step 3, calculating the compression quantity [ x n ] of the vibration reduction component according to the load displacement L, the radius r of the outer peripheral surface of the load and the included angle [ theta n ]; Step 4, calculating stress [ F n ] of the vibration reduction component according to the compression quantity [ x n ] of the vibration reduction component; Step 5, calculating the sum F of component forces of all vibration reduction components in the moving direction of the load; and 6, the rigidity k=F/L of the vibration reduction system. Further, in step 3, the vibration damping element has a precompression amount, and the amount of change in the precompression amount of the vibration damping element is calculated based on the load displacement L, the radius r of the load outer peripheral surface, and the angle [ θ n ], thereby obtaining the compression amount [ x n ]. Further, the circle center O 'of the load after moving is determined, and the included angle [ alpha n ] between the connecting line of the circle center O' and the midpoint [ a n ] and the connecting line of the circle center O and the circle center O 'is calculated, and the variation x' of the precompression amount of the vibration reduction component is calculated-r。 Further, in step 4, when the compression amount x n is smaller than 0, the stress F n =0 of the corresponding vibration damping component. Further, in step 4, if the stiffness [ k n ] of the vibration damping component is a displacement-load curve, the stress [ F n ] of the vibration damping component is calculated by using a difference method. Further, in step 4, if the rigidity [ k n ] of the vibration damping component is a constant value, the stress [ F n]=[kn ] of the vibration damping component is applied[xn]。 Further, in step 5, if the component force of each vibration reduction component in the load moving direction is F ncosθn。 Further, the value of L is changed for a plurality of times, and the steps 2 to 6 are repeated to draw a curve of the stress F and the displacement L, wherein the slope of the curve is the rigidity k. Further, the radius r of the outer peripheral surface of the loadWhen the displacement L is displaced, in the step 1, an included angle [ theta ' - n ] between the connecting line of the