feat: unified 0 and 90 degree PDF envelope and category descriptors

2026-07-08 19:52:34 +00:00
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+/**
+ * Tabela 31 — Parâmetros γ e ξ para a determinação de efeitos
+ * dinâmicos (NBR 6123:2023, sec. 9.3.1).
+ *
+ * Fonte: NBR 6123:2023, p. 62 (Tabela 31).
+ * Última auditoria: 2026-07-08 — auditado e condizente com a norma.
+ */
+
+export interface DynamicStructureParams {
+  /** Expoente γ do modo fundamental */
+  gamma: number;
+  /** Taxa de amortecimento crítico ξ (em %) */
+  xiPercent: number;
+  /** Fórmula para frequência aproximada (Hz) */
+  freqFormula: string;
+}
+
+export const TABLE_31: readonly DynamicStructureParams[] = [
+  {
+    gamma: 1.2,
+    xiPercent: 2.0,
+    freqFormula: 'f₁ ≈ 0,05 + 0,015/h (h em m)',
+  },
+  {
+    gamma: 1.0,
+    xiPercent: 2.0,
+    freqFormula: 'f₁ ≈ 0,05 + 0,015/h',
+  },
+  {
+    gamma: 2.7,
+    xiPercent: 1.5,
+    freqFormula: 'f₁ ≈ 0,02·h (h em m)',
+  },
+  {
+    gamma: 1.7,
+    xiPercent: 1.0,
+    freqFormula: 'f₁ ≈ 0,015·h',
+  },
+  {
+    gamma: 1.2,
+    xiPercent: 1.0,
+    freqFormula: 'f₁ ≈ 0,20/h − 0,04',
+  },
+  {
+    gamma: 1.7,
+    xiPercent: 0.8,
+    freqFormula: 'f₁ ≈ dependente da estrutura',
+  },
+  {
+    gamma: 0,
+    xiPercent: 3.0,
+    freqFormula: 'f₁ ≈ dependente da estrutura',
+  },
+] as const;
+
+export type StructureDynamicType =
+  | 'portal-concrete'
+  | 'concrete-shearwall'
+  | 'concrete-tower-variable'
+  | 'concrete-tower-uniform'
+  | 'steel-welded'
+  | 'steel-tower-uniform'
+  | 'wood';
+
+export function getDynamicParams(type: StructureDynamicType): DynamicStructureParams {
+  const idx: Record<StructureDynamicType, number> = {
+    'portal-concrete': 0,
+    'concrete-shearwall': 1,
+    'concrete-tower-variable': 2,
+    'concrete-tower-uniform': 3,
+    'steel-welded': 4,
+    'steel-tower-uniform': 5,
+    wood: 6,
+  };
+  return TABLE_31[idx[type]];
+}
+
+/**
+ * Estimativa simplificada da frequência fundamental f₁ (Hz) para edifícios.
+ * f₁ = γ · h / ...  (Tabela 31 fornece fórmulas por tipo)
+ */
+export function estimateFundamentalFrequency(type: StructureDynamicType, height: number): number {
+  switch (type) {
+    case 'portal-concrete':
+    case 'concrete-shearwall':
+      return 0.05 + 0.015 / height;
+    case 'concrete-tower-variable':
+      return 0.02 * height;
+    case 'concrete-tower-uniform':
+    case 'steel-tower-uniform':
+      return 0.015 * height;
+    case 'steel-welded':
+      return Math.max(0.5, 0.2 / height - 0.04);
+    case 'wood':
+      return 0.5;
+  }
+}