Truss Structure Problems

For the analysis or optimization of truss structures, there exist two problem formulations:

  1. Truss Structure Analysis Problem

  2. Truss Structure Optimization Problem

Truss Structure Analysis Problem

Truss Structure Analysis Class

class engioptiqa.problems.structural.truss_structure.truss_structure.TrussStructure(output_path=None)
add_load(node_id, force)

Add an external load to a node.

Parameters:

  • node_id – ID of the node where the load is applied.

  • force – Tuple (Fx, Fy) representing the force components in x and y directions.

add_member(node_0_id, node_1_id, A=None, E=None, member_id=None)

Add a truss member to the structure.

Parameters:

  • node_0_id – ID of the first node.

  • node_1_id – ID of the second node.

  • A – Cross-sectional area of the member (optional).

  • E – Young’s modulus of the member (optional).

  • member_id – Unique identifier for the member (optional).

add_node(node_id, coordinates)

Add a node to the truss structure.

Parameters:

  • node_id – Unique identifier for the node (e.g., integer or string).

  • coordinates – Tuple (x, y) representing the node’s position.

add_support(node_id, x_fixed=True, y_fixed=True)

Add a support condition to a node.

Parameters:

  • node_id – ID of the node where the support is applied.

  • x_fixed – Boolean indicating if the x-direction is fixed (default: True).

  • y_fixed – Boolean indicating if the y-direction is fixed (default: True).

analyze_results(results=None, analysis_plots=True, compute_errors=True, result_max=9223372036854775807)

Analyze results computed or returned by a solver.

Parameters:

results – Optional results to analyze. If not provided, will attempt to use self.results computed by a solver.

Returns:

List of solutions (dictionaries) containing information (bit array, energy, frequency).

compute_member_forces()

Compute axial forces in the truss members using the method of joints. :return: Dictionary of member forces: {(node_1_id, node_2_id): force}.

generate_discretization(n_qubits_per_var, binary_representation, lower_lim=None, upper_lim=None)

Discretize problem variables into binary representation.

generate_problem_formulation(penalty_weight)

Generate problem formulation as an Amplify Model based on a polynomial in binary variables for the objective to be minimized including constraints.

get_load_info()

Retrieve information about all loads in the structure.

Returns:

Dictionary of node IDs and their applied forces.

get_member_areas()

Get the cross-sectional areas for all members.

get_member_info()

Retrieve information about all members in the structure.

Returns:

List of dictionaries containing member properties.

get_node_info()

Retrieve information about all nodes in the structure.

Returns:

Dictionary of node IDs and their coordinates.

get_support_info()

Retrieve information about all supports in the structure.

Returns:

Dictionary of node IDs and their support conditions.

set_member_areas(member_areas)

Set the cross-sectional areas for all members.

Parameters:

member_areas – List of areas corresponding to each member.

visualize(subtitle='')

Visualize the truss structure, including nodes, members, loads, and supports.

Parameters:

subtitle – Subtitle for the plot.

Truss Structure Optimization Problem

Truss Structure Optimization Class

class engioptiqa.problems.structural.truss_structure.truss_structure_optimization.TrussStructureOptimization(target_volume=None, output_path=None)
generate_problem_formulation(penalty_weight)

Generate problem formulation as an Amplify Model based on a polynomial in binary variables for the objective to be minimized including constraints.