Method for eliminating thermal buckling of lattice sandwich panel structure and restraining nonlinear flutter
A sandwich panel and nonlinear technology, which is applied in the field of eliminating thermal buckling of lattice sandwich panel structures and suppressing nonlinear flutter, can solve the problems of structural natural frequency changes, active stiffness cannot fully compensate for temperature changes, etc., and achieve design saving The effect of installation time
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specific Embodiment approach 1
[0022] Embodiment 1: A method for eliminating thermal buckling of a lattice sandwich panel structure and suppressing nonlinear flutter described in this embodiment includes the following steps:
[0023] Step 1: Establish the strain-displacement relationship and constitutive relationship of the lattice sandwich panel structure based on the geometric deformation of the lattice sandwich panel structure;
[0024] Step 2: Establish the expressions of the supersonic aerodynamic force and the work done by the in-plane thermal load and the mathematical model of the elastic foundation structure, obtain the expressions of the kinetic energy, deformation energy and elastic foundation potential energy of the lattice sandwich panel, and establish points based on the Hamilton variational principle The aerodynamic thermoelastic motion equation of the array sandwich panel structure;
[0025] Step 3: Solve the aerothermoelastic motion equation of the lattice sandwich panel structure based on t...
specific Embodiment approach 2
[0026] Specific implementation mode two: the detailed steps of described step one are:
[0027] Step ①: Establish the expression of the displacement field of the lattice sandwich panel structure:
[0028] w (p) =w,p=1,2;
[0029] u (3) =u-zθ x , v (3) =v-zθ y ,w (3) = w;
[0030] The superscript "p" represents the upper panel and the lower panel of the lattice sandwich panel structure, 1 is the upper panel of the lattice sandwich panel structure, and 2 is the lower panel of the lattice sandwich panel structure; the superscript "3" represents the lattice sandwich panel core plate structure core; h c is the thickness of the core; u, v and w are the displacements of the structural neutral plane along the x, y and z axes respectively; θ x and θ y represent the rotation angles of the neutral plane along the y and x axes, respectively;
[0031] Step ②: Establish the expression of the strain-displacement relationship of the lattice sandwich panel structure through the ex...
specific Embodiment approach 3
[0046] Specific implementation mode three: the core equivalent shear modulus G in the step 3. c The expression is:
[0047]
[0048] Among them, ρ r is the relative density of the core, Ec is the elastic modulus of the pyramid core material, α c is the inclination angle of the pyramid lattice rod;
[0049] where ρ r The expression is:
[0050]
[0051] where l c is the length of the pyramid lattice rod; α c is the inclination angle of the pyramid lattice rod; r c is the radius of the pyramid lattice rod.
[0052] Other steps and parameters are the same as those in Embodiment 1 or Embodiment 2.
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